What is the Least Common Multiple of 59180 and 59200?

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 59180 and 59200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59180 and 59200, than apply into the LCM equation.

GCF(59180,59200) = 20
LCM(59180,59200) = ( 59180 × 59200) / 20
LCM(59180,59200) = 3503456000 / 20
LCM(59180,59200) = 175172800

Least Common Multiple (LCM) of 59180 and 59200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59180 and 59200. First we will calculate the prime factors of 59180 and 59200.

Prime Factorization of 59180

Prime Factorization of 59200

Now multiplying the highest exponent prime factors to calculate the LCM of 59180 and 59200.

LCM(59180,59200) = 2⁶ × 5² × 11¹ × 269¹ × 37¹
LCM(59180,59200) = 175172800