What is the Least Common Multiple of 59736 and 59756?

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 59736 and 59756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59736 and 59756, than apply into the LCM equation.

GCF(59736,59756) = 4
LCM(59736,59756) = ( 59736 × 59756) / 4
LCM(59736,59756) = 3569584416 / 4
LCM(59736,59756) = 892396104

Least Common Multiple (LCM) of 59736 and 59756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59736 and 59756. First we will calculate the prime factors of 59736 and 59756.

Prime Factorization of 59736

Prime Factorization of 59756

Now multiplying the highest exponent prime factors to calculate the LCM of 59736 and 59756.

LCM(59736,59756) = 2³ × 3¹ × 19¹ × 131¹ × 14939¹
LCM(59736,59756) = 892396104