What is the Least Common Multiple of 39667 and 39672?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 39667 and 39672 is 1573669224.
LCM(39667,39672) = 1573669224
Least Common Multiple of 39667 and 39672 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39667 and 39672, than apply into the LCM equation.
GCF(39667,39672) = 1
LCM(39667,39672) = ( 39667 × 39672) / 1
LCM(39667,39672) = 1573669224 / 1
LCM(39667,39672) = 1573669224
Least Common Multiple (LCM) of 39667 and 39672 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 39667 and 39672. First we will calculate the prime factors of 39667 and 39672.
Prime Factorization of 39667
Prime factors of 39667 are 39667. Prime factorization of 39667 in exponential form is:
39667 = 396671
Prime Factorization of 39672
Prime factors of 39672 are 2, 3, 19, 29. Prime factorization of 39672 in exponential form is:
39672 = 23 × 32 × 191 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 39667 and 39672.
LCM(39667,39672) = 396671 × 23 × 32 × 191 × 291
LCM(39667,39672) = 1573669224
Related Least Common Multiples of 39667
- LCM of 39667 and 39671
- LCM of 39667 and 39672
- LCM of 39667 and 39673
- LCM of 39667 and 39674
- LCM of 39667 and 39675
- LCM of 39667 and 39676
- LCM of 39667 and 39677
- LCM of 39667 and 39678
- LCM of 39667 and 39679
- LCM of 39667 and 39680
- LCM of 39667 and 39681
- LCM of 39667 and 39682
- LCM of 39667 and 39683
- LCM of 39667 and 39684
- LCM of 39667 and 39685
- LCM of 39667 and 39686
- LCM of 39667 and 39687
Related Least Common Multiples of 39672
- LCM of 39672 and 39676
- LCM of 39672 and 39677
- LCM of 39672 and 39678
- LCM of 39672 and 39679
- LCM of 39672 and 39680
- LCM of 39672 and 39681
- LCM of 39672 and 39682
- LCM of 39672 and 39683
- LCM of 39672 and 39684
- LCM of 39672 and 39685
- LCM of 39672 and 39686
- LCM of 39672 and 39687
- LCM of 39672 and 39688
- LCM of 39672 and 39689
- LCM of 39672 and 39690
- LCM of 39672 and 39691
- LCM of 39672 and 39692