What is the Least Common Multiple of 94989 and 95004?

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 94989 and 95004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94989 and 95004, than apply into the LCM equation.

GCF(94989,95004) = 3
LCM(94989,95004) = ( 94989 × 95004) / 3
LCM(94989,95004) = 9024334956 / 3
LCM(94989,95004) = 3008111652

Least Common Multiple (LCM) of 94989 and 95004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94989 and 95004. First we will calculate the prime factors of 94989 and 95004.

Prime Factorization of 94989

Prime Factorization of 95004

Now multiplying the highest exponent prime factors to calculate the LCM of 94989 and 95004.

LCM(94989,95004) = 3² × 31663¹ × 2² × 7¹ × 13¹ × 29¹
LCM(94989,95004) = 3008111652