What is the Least Common Multiple of 4986 and 4995?

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 4986 and 4995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4986 and 4995, than apply into the LCM equation.

GCF(4986,4995) = 9
LCM(4986,4995) = ( 4986 × 4995) / 9
LCM(4986,4995) = 24905070 / 9
LCM(4986,4995) = 2767230

Least Common Multiple (LCM) of 4986 and 4995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4986 and 4995. First we will calculate the prime factors of 4986 and 4995.

Prime Factorization of 4986

Prime Factorization of 4995

Now multiplying the highest exponent prime factors to calculate the LCM of 4986 and 4995.

LCM(4986,4995) = 2¹ × 3³ × 277¹ × 5¹ × 37¹
LCM(4986,4995) = 2767230