What is the Least Common Multiple of 59736 and 59755?

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 59755 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 59755, than apply into the LCM equation.

GCF(59736,59755) = 19
LCM(59736,59755) = ( 59736 × 59755) / 19
LCM(59736,59755) = 3569524680 / 19
LCM(59736,59755) = 187869720

Least Common Multiple (LCM) of 59736 and 59755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59736 and 59755. First we will calculate the prime factors of 59736 and 59755.

Prime Factorization of 59736

Prime Factorization of 59755

Now multiplying the highest exponent prime factors to calculate the LCM of 59736 and 59755.

LCM(59736,59755) = 2³ × 3¹ × 19¹ × 131¹ × 5¹ × 17¹ × 37¹
LCM(59736,59755) = 187869720