What is the Least Common Multiple of 54718 and 54737?

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 54718 and 54737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54718 and 54737, than apply into the LCM equation.

GCF(54718,54737) = 1
LCM(54718,54737) = ( 54718 × 54737) / 1
LCM(54718,54737) = 2995099166 / 1
LCM(54718,54737) = 2995099166

Least Common Multiple (LCM) of 54718 and 54737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54718 and 54737. First we will calculate the prime factors of 54718 and 54737.

Prime Factorization of 54718

Prime Factorization of 54737

Now multiplying the highest exponent prime factors to calculate the LCM of 54718 and 54737.

LCM(54718,54737) = 2¹ × 109¹ × 251¹ × 127¹ × 431¹
LCM(54718,54737) = 2995099166