What is the Least Common Multiple of 95046 and 95064?

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 95046 and 95064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95046 and 95064, than apply into the LCM equation.

GCF(95046,95064) = 6
LCM(95046,95064) = ( 95046 × 95064) / 6
LCM(95046,95064) = 9035452944 / 6
LCM(95046,95064) = 1505908824

Least Common Multiple (LCM) of 95046 and 95064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95046 and 95064. First we will calculate the prime factors of 95046 and 95064.

Prime Factorization of 95046

Prime Factorization of 95064

Now multiplying the highest exponent prime factors to calculate the LCM of 95046 and 95064.

LCM(95046,95064) = 2³ × 3¹ × 7¹ × 31¹ × 73¹ × 17¹ × 233¹
LCM(95046,95064) = 1505908824