What is the Least Common Multiple of 59552 and 59570?

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 59552 and 59570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59552 and 59570, than apply into the LCM equation.

GCF(59552,59570) = 2
LCM(59552,59570) = ( 59552 × 59570) / 2
LCM(59552,59570) = 3547512640 / 2
LCM(59552,59570) = 1773756320

Least Common Multiple (LCM) of 59552 and 59570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59552 and 59570. First we will calculate the prime factors of 59552 and 59570.

Prime Factorization of 59552

Prime Factorization of 59570

Now multiplying the highest exponent prime factors to calculate the LCM of 59552 and 59570.

LCM(59552,59570) = 2⁵ × 1861¹ × 5¹ × 7¹ × 23¹ × 37¹
LCM(59552,59570) = 1773756320