What is the Least Common Multiple of 65655 and 65670?

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 65655 and 65670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65655 and 65670, than apply into the LCM equation.

GCF(65655,65670) = 15
LCM(65655,65670) = ( 65655 × 65670) / 15
LCM(65655,65670) = 4311563850 / 15
LCM(65655,65670) = 287437590

Least Common Multiple (LCM) of 65655 and 65670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65655 and 65670. First we will calculate the prime factors of 65655 and 65670.

Prime Factorization of 65655

Prime Factorization of 65670

Now multiplying the highest exponent prime factors to calculate the LCM of 65655 and 65670.

LCM(65655,65670) = 3² × 5¹ × 1459¹ × 2¹ × 11¹ × 199¹
LCM(65655,65670) = 287437590