What is the Least Common Multiple of 77519 and 77538?

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 77519 and 77538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77519 and 77538, than apply into the LCM equation.

GCF(77519,77538) = 1
LCM(77519,77538) = ( 77519 × 77538) / 1
LCM(77519,77538) = 6010668222 / 1
LCM(77519,77538) = 6010668222

Least Common Multiple (LCM) of 77519 and 77538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77519 and 77538. First we will calculate the prime factors of 77519 and 77538.

Prime Factorization of 77519

Prime Factorization of 77538

Now multiplying the highest exponent prime factors to calculate the LCM of 77519 and 77538.

LCM(77519,77538) = 13¹ × 67¹ × 89¹ × 2¹ × 3¹ × 12923¹
LCM(77519,77538) = 6010668222