What is the Least Common Multiple of 77435 and 77440?

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 77435 and 77440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77435 and 77440, than apply into the LCM equation.

GCF(77435,77440) = 5
LCM(77435,77440) = ( 77435 × 77440) / 5
LCM(77435,77440) = 5996566400 / 5
LCM(77435,77440) = 1199313280

Least Common Multiple (LCM) of 77435 and 77440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77435 and 77440. First we will calculate the prime factors of 77435 and 77440.

Prime Factorization of 77435

Prime Factorization of 77440

Now multiplying the highest exponent prime factors to calculate the LCM of 77435 and 77440.

LCM(77435,77440) = 5¹ × 17¹ × 911¹ × 2⁷ × 11²
LCM(77435,77440) = 1199313280