What is the Least Common Multiple of 95892 and 95900?

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 95892 and 95900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95892 and 95900, than apply into the LCM equation.

GCF(95892,95900) = 4
LCM(95892,95900) = ( 95892 × 95900) / 4
LCM(95892,95900) = 9196042800 / 4
LCM(95892,95900) = 2299010700

Least Common Multiple (LCM) of 95892 and 95900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95892 and 95900. First we will calculate the prime factors of 95892 and 95900.

Prime Factorization of 95892

Prime Factorization of 95900

Now multiplying the highest exponent prime factors to calculate the LCM of 95892 and 95900.

LCM(95892,95900) = 2² × 3¹ × 61¹ × 131¹ × 5² × 7¹ × 137¹
LCM(95892,95900) = 2299010700