What is the Least Common Multiple of 95074 and 95088?

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 95074 and 95088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95074 and 95088, than apply into the LCM equation.

GCF(95074,95088) = 14
LCM(95074,95088) = ( 95074 × 95088) / 14
LCM(95074,95088) = 9040396512 / 14
LCM(95074,95088) = 645742608

Least Common Multiple (LCM) of 95074 and 95088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95074 and 95088. First we will calculate the prime factors of 95074 and 95088.

Prime Factorization of 95074

Prime Factorization of 95088

Now multiplying the highest exponent prime factors to calculate the LCM of 95074 and 95088.

LCM(95074,95088) = 2⁴ × 7¹ × 6791¹ × 3¹ × 283¹
LCM(95074,95088) = 645742608