What is the Least Common Multiple of 95049 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 95049 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 95049 and 95064, than apply into the LCM equation.

GCF(95049,95064) = 3
LCM(95049,95064) = ( 95049 × 95064) / 3
LCM(95049,95064) = 9035738136 / 3
LCM(95049,95064) = 3011912712

Least Common Multiple (LCM) of 95049 and 95064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95049 and 95064. First we will calculate the prime factors of 95049 and 95064.

Prime Factorization of 95049

Prime Factorization of 95064

Now multiplying the highest exponent prime factors to calculate the LCM of 95049 and 95064.

LCM(95049,95064) = 3² × 59¹ × 179¹ × 2³ × 17¹ × 233¹
LCM(95049,95064) = 3011912712