What is the Least Common Multiple of 95056 and 95074?

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 95056 and 95074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95056 and 95074, than apply into the LCM equation.

GCF(95056,95074) = 2
LCM(95056,95074) = ( 95056 × 95074) / 2
LCM(95056,95074) = 9037354144 / 2
LCM(95056,95074) = 4518677072

Least Common Multiple (LCM) of 95056 and 95074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95056 and 95074. First we will calculate the prime factors of 95056 and 95074.

Prime Factorization of 95056

Prime Factorization of 95074

Now multiplying the highest exponent prime factors to calculate the LCM of 95056 and 95074.

LCM(95056,95074) = 2⁴ × 13¹ × 457¹ × 7¹ × 6791¹
LCM(95056,95074) = 4518677072