What is the Least Common Multiple of 59562 and 59568?

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 59562 and 59568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59562 and 59568, than apply into the LCM equation.

GCF(59562,59568) = 6
LCM(59562,59568) = ( 59562 × 59568) / 6
LCM(59562,59568) = 3547989216 / 6
LCM(59562,59568) = 591331536

Least Common Multiple (LCM) of 59562 and 59568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59562 and 59568. First we will calculate the prime factors of 59562 and 59568.

Prime Factorization of 59562

Prime Factorization of 59568

Now multiplying the highest exponent prime factors to calculate the LCM of 59562 and 59568.

LCM(59562,59568) = 2⁴ × 3³ × 1103¹ × 17¹ × 73¹
LCM(59562,59568) = 591331536