What is the Least Common Multiple of 51677 and 51695?

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 51677 and 51695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51677 and 51695, than apply into the LCM equation.

GCF(51677,51695) = 1
LCM(51677,51695) = ( 51677 × 51695) / 1
LCM(51677,51695) = 2671442515 / 1
LCM(51677,51695) = 2671442515

Least Common Multiple (LCM) of 51677 and 51695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51677 and 51695. First we will calculate the prime factors of 51677 and 51695.

Prime Factorization of 51677

Prime Factorization of 51695

Now multiplying the highest exponent prime factors to calculate the LCM of 51677 and 51695.

LCM(51677,51695) = 31¹ × 1667¹ × 5¹ × 7² × 211¹
LCM(51677,51695) = 2671442515