What is the Least Common Multiple of 59670 and 59676?

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 59676 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 59676, than apply into the LCM equation.

GCF(59670,59676) = 6
LCM(59670,59676) = ( 59670 × 59676) / 6
LCM(59670,59676) = 3560866920 / 6
LCM(59670,59676) = 593477820

Least Common Multiple (LCM) of 59670 and 59676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59670 and 59676. First we will calculate the prime factors of 59670 and 59676.

Prime Factorization of 59670

Prime Factorization of 59676

Now multiplying the highest exponent prime factors to calculate the LCM of 59670 and 59676.

LCM(59670,59676) = 2² × 3³ × 5¹ × 13¹ × 17¹ × 4973¹
LCM(59670,59676) = 593477820