What is the Least Common Multiple of 94872 and 94883?

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 94872 and 94883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94872 and 94883, than apply into the LCM equation.

GCF(94872,94883) = 1
LCM(94872,94883) = ( 94872 × 94883) / 1
LCM(94872,94883) = 9001739976 / 1
LCM(94872,94883) = 9001739976

Least Common Multiple (LCM) of 94872 and 94883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94872 and 94883. First we will calculate the prime factors of 94872 and 94883.

Prime Factorization of 94872

Prime Factorization of 94883

Now multiplying the highest exponent prime factors to calculate the LCM of 94872 and 94883.

LCM(94872,94883) = 2³ × 3¹ × 59¹ × 67¹ × 239¹ × 397¹
LCM(94872,94883) = 9001739976