What is the Least Common Multiple of 78538 and 78546?

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 78538 and 78546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78538 and 78546, than apply into the LCM equation.

GCF(78538,78546) = 2
LCM(78538,78546) = ( 78538 × 78546) / 2
LCM(78538,78546) = 6168845748 / 2
LCM(78538,78546) = 3084422874

Least Common Multiple (LCM) of 78538 and 78546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78538 and 78546. First we will calculate the prime factors of 78538 and 78546.

Prime Factorization of 78538

Prime Factorization of 78546

Now multiplying the highest exponent prime factors to calculate the LCM of 78538 and 78546.

LCM(78538,78546) = 2¹ × 107¹ × 367¹ × 3¹ × 13¹ × 19¹ × 53¹
LCM(78538,78546) = 3084422874