What is the Least Common Multiple of 71675 and 71695?

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 71675 and 71695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71675 and 71695, than apply into the LCM equation.

GCF(71675,71695) = 5
LCM(71675,71695) = ( 71675 × 71695) / 5
LCM(71675,71695) = 5138739125 / 5
LCM(71675,71695) = 1027747825

Least Common Multiple (LCM) of 71675 and 71695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71675 and 71695. First we will calculate the prime factors of 71675 and 71695.

Prime Factorization of 71675

Prime Factorization of 71695

Now multiplying the highest exponent prime factors to calculate the LCM of 71675 and 71695.

LCM(71675,71695) = 5² × 47¹ × 61¹ × 13¹ × 1103¹
LCM(71675,71695) = 1027747825