What is the Least Common Multiple of 65670 and 65688?

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 65670 and 65688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65670 and 65688, than apply into the LCM equation.

GCF(65670,65688) = 6
LCM(65670,65688) = ( 65670 × 65688) / 6
LCM(65670,65688) = 4313730960 / 6
LCM(65670,65688) = 718955160

Least Common Multiple (LCM) of 65670 and 65688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65670 and 65688. First we will calculate the prime factors of 65670 and 65688.

Prime Factorization of 65670

Prime Factorization of 65688

Now multiplying the highest exponent prime factors to calculate the LCM of 65670 and 65688.

LCM(65670,65688) = 2³ × 3¹ × 5¹ × 11¹ × 199¹ × 7¹ × 17¹ × 23¹
LCM(65670,65688) = 718955160