What is the Least Common Multiple of 59670 and 59688?

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 59670 and 59688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59670 and 59688, than apply into the LCM equation.

GCF(59670,59688) = 18
LCM(59670,59688) = ( 59670 × 59688) / 18
LCM(59670,59688) = 3561582960 / 18
LCM(59670,59688) = 197865720

Least Common Multiple (LCM) of 59670 and 59688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59670 and 59688. First we will calculate the prime factors of 59670 and 59688.

Prime Factorization of 59670

Prime Factorization of 59688

Now multiplying the highest exponent prime factors to calculate the LCM of 59670 and 59688.

LCM(59670,59688) = 2³ × 3³ × 5¹ × 13¹ × 17¹ × 829¹
LCM(59670,59688) = 197865720