What is the Least Common Multiple of 77438 and 77456?

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 77438 and 77456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77438 and 77456, than apply into the LCM equation.

GCF(77438,77456) = 2
LCM(77438,77456) = ( 77438 × 77456) / 2
LCM(77438,77456) = 5998037728 / 2
LCM(77438,77456) = 2999018864

Least Common Multiple (LCM) of 77438 and 77456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77438 and 77456. First we will calculate the prime factors of 77438 and 77456.

Prime Factorization of 77438

Prime Factorization of 77456

Now multiplying the highest exponent prime factors to calculate the LCM of 77438 and 77456.

LCM(77438,77456) = 2⁴ × 31¹ × 1249¹ × 47¹ × 103¹
LCM(77438,77456) = 2999018864