What is the Least Common Multiple of 95700 and 95714?

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 95700 and 95714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95700 and 95714, than apply into the LCM equation.

GCF(95700,95714) = 2
LCM(95700,95714) = ( 95700 × 95714) / 2
LCM(95700,95714) = 9159829800 / 2
LCM(95700,95714) = 4579914900

Least Common Multiple (LCM) of 95700 and 95714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95700 and 95714. First we will calculate the prime factors of 95700 and 95714.

Prime Factorization of 95700

Prime Factorization of 95714

Now multiplying the highest exponent prime factors to calculate the LCM of 95700 and 95714.

LCM(95700,95714) = 2² × 3¹ × 5² × 11¹ × 29¹ × 47857¹
LCM(95700,95714) = 4579914900