What is the Least Common Multiple of 77459 and 77477?

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 77459 and 77477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77459 and 77477, than apply into the LCM equation.

GCF(77459,77477) = 1
LCM(77459,77477) = ( 77459 × 77477) / 1
LCM(77459,77477) = 6001290943 / 1
LCM(77459,77477) = 6001290943

Least Common Multiple (LCM) of 77459 and 77477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77459 and 77477. First we will calculate the prime factors of 77459 and 77477.

Prime Factorization of 77459

Prime Factorization of 77477

Now multiplying the highest exponent prime factors to calculate the LCM of 77459 and 77477.

LCM(77459,77477) = 29¹ × 2671¹ × 77477¹
LCM(77459,77477) = 6001290943