What is the Least Common Multiple of 65988 and 65998?

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 65988 and 65998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65988 and 65998, than apply into the LCM equation.

GCF(65988,65998) = 2
LCM(65988,65998) = ( 65988 × 65998) / 2
LCM(65988,65998) = 4355076024 / 2
LCM(65988,65998) = 2177538012

Least Common Multiple (LCM) of 65988 and 65998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65988 and 65998. First we will calculate the prime factors of 65988 and 65998.

Prime Factorization of 65988

Prime Factorization of 65998

Now multiplying the highest exponent prime factors to calculate the LCM of 65988 and 65998.

LCM(65988,65998) = 2² × 3³ × 13¹ × 47¹ × 32999¹
LCM(65988,65998) = 2177538012