What is the Least Common Multiple of 67621 and 67632?
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 67621 and 67632 is 4573343472.
LCM(67621,67632) = 4573343472
Least Common Multiple of 67621 and 67632 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67621 and 67632, than apply into the LCM equation.
GCF(67621,67632) = 1
LCM(67621,67632) = ( 67621 × 67632) / 1
LCM(67621,67632) = 4573343472 / 1
LCM(67621,67632) = 4573343472
Least Common Multiple (LCM) of 67621 and 67632 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67621 and 67632. First we will calculate the prime factors of 67621 and 67632.
Prime Factorization of 67621
Prime factors of 67621 are 19, 3559. Prime factorization of 67621 in exponential form is:
67621 = 191 × 35591
Prime Factorization of 67632
Prime factors of 67632 are 2, 3, 1409. Prime factorization of 67632 in exponential form is:
67632 = 24 × 31 × 14091
Now multiplying the highest exponent prime factors to calculate the LCM of 67621 and 67632.
LCM(67621,67632) = 191 × 35591 × 24 × 31 × 14091
LCM(67621,67632) = 4573343472
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