What is the Least Common Multiple of 4613 and 4630?
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 4613 and 4630 is 21358190.
LCM(4613,4630) = 21358190
Least Common Multiple of 4613 and 4630 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4613 and 4630, than apply into the LCM equation.
GCF(4613,4630) = 1
LCM(4613,4630) = ( 4613 × 4630) / 1
LCM(4613,4630) = 21358190 / 1
LCM(4613,4630) = 21358190
Least Common Multiple (LCM) of 4613 and 4630 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4613 and 4630. First we will calculate the prime factors of 4613 and 4630.
Prime Factorization of 4613
Prime factors of 4613 are 7, 659. Prime factorization of 4613 in exponential form is:
4613 = 71 × 6591
Prime Factorization of 4630
Prime factors of 4630 are 2, 5, 463. Prime factorization of 4630 in exponential form is:
4630 = 21 × 51 × 4631
Now multiplying the highest exponent prime factors to calculate the LCM of 4613 and 4630.
LCM(4613,4630) = 71 × 6591 × 21 × 51 × 4631
LCM(4613,4630) = 21358190
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