What is the Least Common Multiple of 95088 and 95100?

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 95088 and 95100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95088 and 95100, than apply into the LCM equation.

GCF(95088,95100) = 12
LCM(95088,95100) = ( 95088 × 95100) / 12
LCM(95088,95100) = 9042868800 / 12
LCM(95088,95100) = 753572400

Least Common Multiple (LCM) of 95088 and 95100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95088 and 95100. First we will calculate the prime factors of 95088 and 95100.

Prime Factorization of 95088

Prime Factorization of 95100

Now multiplying the highest exponent prime factors to calculate the LCM of 95088 and 95100.

LCM(95088,95100) = 2⁴ × 3¹ × 7¹ × 283¹ × 5² × 317¹
LCM(95088,95100) = 753572400