What is the Least Common Multiple of 77574 and 77581?

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 77574 and 77581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77574 and 77581, than apply into the LCM equation.

GCF(77574,77581) = 7
LCM(77574,77581) = ( 77574 × 77581) / 7
LCM(77574,77581) = 6018268494 / 7
LCM(77574,77581) = 859752642

Least Common Multiple (LCM) of 77574 and 77581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77574 and 77581. First we will calculate the prime factors of 77574 and 77581.

Prime Factorization of 77574

Prime Factorization of 77581

Now multiplying the highest exponent prime factors to calculate the LCM of 77574 and 77581.

LCM(77574,77581) = 2¹ × 3¹ × 7¹ × 1847¹ × 11083¹
LCM(77574,77581) = 859752642