What is the Least Common Multiple of 79632 and 79649?

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 of 79632 and 79649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79632 and 79649, than apply into the LCM equation.

GCF(79632,79649) = 1
LCM(79632,79649) = ( 79632 × 79649) / 1
LCM(79632,79649) = 6342609168 / 1
LCM(79632,79649) = 6342609168

Least Common Multiple (LCM) of 79632 and 79649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79632 and 79649. First we will calculate the prime factors of 79632 and 79649.

Prime Factorization of 79632

Prime Factorization of 79649

Now multiplying the highest exponent prime factors to calculate the LCM of 79632 and 79649.

LCM(79632,79649) = 2⁴ × 3² × 7¹ × 79¹ × 23¹ × 3463¹
LCM(79632,79649) = 6342609168