What is the Least Common Multiple of 79538 and 79546?

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 79538 and 79546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79538 and 79546, than apply into the LCM equation.

GCF(79538,79546) = 2
LCM(79538,79546) = ( 79538 × 79546) / 2
LCM(79538,79546) = 6326929748 / 2
LCM(79538,79546) = 3163464874

Least Common Multiple (LCM) of 79538 and 79546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79538 and 79546. First we will calculate the prime factors of 79538 and 79546.

Prime Factorization of 79538

Prime Factorization of 79546

Now multiplying the highest exponent prime factors to calculate the LCM of 79538 and 79546.

LCM(79538,79546) = 2¹ × 39769¹ × 31¹ × 1283¹
LCM(79538,79546) = 3163464874