What is the Least Common Multiple of 59670 and 59685?

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 59685 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 59685, than apply into the LCM equation.

GCF(59670,59685) = 15
LCM(59670,59685) = ( 59670 × 59685) / 15
LCM(59670,59685) = 3561403950 / 15
LCM(59670,59685) = 237426930

Least Common Multiple (LCM) of 59670 and 59685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59670 and 59685. First we will calculate the prime factors of 59670 and 59685.

Prime Factorization of 59670

Prime Factorization of 59685

Now multiplying the highest exponent prime factors to calculate the LCM of 59670 and 59685.

LCM(59670,59685) = 2¹ × 3³ × 5¹ × 13¹ × 17¹ × 23¹ × 173¹
LCM(59670,59685) = 237426930