What is the Least Common Multiple of 94980 and 94995?

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 94980 and 94995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94980 and 94995, than apply into the LCM equation.

GCF(94980,94995) = 15
LCM(94980,94995) = ( 94980 × 94995) / 15
LCM(94980,94995) = 9022625100 / 15
LCM(94980,94995) = 601508340

Least Common Multiple (LCM) of 94980 and 94995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94980 and 94995. First we will calculate the prime factors of 94980 and 94995.

Prime Factorization of 94980

Prime Factorization of 94995

Now multiplying the highest exponent prime factors to calculate the LCM of 94980 and 94995.

LCM(94980,94995) = 2² × 3² × 5¹ × 1583¹ × 2111¹
LCM(94980,94995) = 601508340