What is the Least Common Multiple of 59736 and 59742?

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 59742 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 59742, than apply into the LCM equation.

GCF(59736,59742) = 6
LCM(59736,59742) = ( 59736 × 59742) / 6
LCM(59736,59742) = 3568748112 / 6
LCM(59736,59742) = 594791352

Least Common Multiple (LCM) of 59736 and 59742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59736 and 59742. First we will calculate the prime factors of 59736 and 59742.

Prime Factorization of 59736

Prime Factorization of 59742

Now multiplying the highest exponent prime factors to calculate the LCM of 59736 and 59742.

LCM(59736,59742) = 2³ × 3² × 19¹ × 131¹ × 3319¹
LCM(59736,59742) = 594791352