What is the Least Common Multiple of 94942 and 94954?

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 94942 and 94954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94942 and 94954, than apply into the LCM equation.

GCF(94942,94954) = 2
LCM(94942,94954) = ( 94942 × 94954) / 2
LCM(94942,94954) = 9015122668 / 2
LCM(94942,94954) = 4507561334

Least Common Multiple (LCM) of 94942 and 94954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94942 and 94954. First we will calculate the prime factors of 94942 and 94954.

Prime Factorization of 94942

Prime Factorization of 94954

Now multiplying the highest exponent prime factors to calculate the LCM of 94942 and 94954.

LCM(94942,94954) = 2¹ × 37¹ × 1283¹ × 197¹ × 241¹
LCM(94942,94954) = 4507561334