What is the Least Common Multiple of 59872 and 59882?

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 59872 and 59882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59872 and 59882, than apply into the LCM equation.

GCF(59872,59882) = 2
LCM(59872,59882) = ( 59872 × 59882) / 2
LCM(59872,59882) = 3585255104 / 2
LCM(59872,59882) = 1792627552

Least Common Multiple (LCM) of 59872 and 59882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59872 and 59882. First we will calculate the prime factors of 59872 and 59882.

Prime Factorization of 59872

Prime Factorization of 59882

Now multiplying the highest exponent prime factors to calculate the LCM of 59872 and 59882.

LCM(59872,59882) = 2⁵ × 1871¹ × 79¹ × 379¹
LCM(59872,59882) = 1792627552