What is the Least Common Multiple of 94954 and 94967?

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 94954 and 94967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94954 and 94967, than apply into the LCM equation.

GCF(94954,94967) = 1
LCM(94954,94967) = ( 94954 × 94967) / 1
LCM(94954,94967) = 9017496518 / 1
LCM(94954,94967) = 9017496518

Least Common Multiple (LCM) of 94954 and 94967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94954 and 94967. First we will calculate the prime factors of 94954 and 94967.

Prime Factorization of 94954

Prime Factorization of 94967

Now multiplying the highest exponent prime factors to calculate the LCM of 94954 and 94967.

LCM(94954,94967) = 2¹ × 197¹ × 241¹ × 23¹ × 4129¹
LCM(94954,94967) = 9017496518