What is the Least Common Multiple of 78538 and 78548?

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 78548 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 78548, than apply into the LCM equation.

GCF(78538,78548) = 2
LCM(78538,78548) = ( 78538 × 78548) / 2
LCM(78538,78548) = 6169002824 / 2
LCM(78538,78548) = 3084501412

Least Common Multiple (LCM) of 78538 and 78548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78538 and 78548. First we will calculate the prime factors of 78538 and 78548.

Prime Factorization of 78538

Prime Factorization of 78548

Now multiplying the highest exponent prime factors to calculate the LCM of 78538 and 78548.

LCM(78538,78548) = 2² × 107¹ × 367¹ × 73¹ × 269¹
LCM(78538,78548) = 3084501412