What is the Least Common Multiple of 77418 and 77435?

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 77418 and 77435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77418 and 77435, than apply into the LCM equation.

GCF(77418,77435) = 17
LCM(77418,77435) = ( 77418 × 77435) / 17
LCM(77418,77435) = 5994862830 / 17
LCM(77418,77435) = 352638990

Least Common Multiple (LCM) of 77418 and 77435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77418 and 77435. First we will calculate the prime factors of 77418 and 77435.

Prime Factorization of 77418

Prime Factorization of 77435

Now multiplying the highest exponent prime factors to calculate the LCM of 77418 and 77435.

LCM(77418,77435) = 2¹ × 3² × 11¹ × 17¹ × 23¹ × 5¹ × 911¹
LCM(77418,77435) = 352638990