What is the Least Common Multiple of 59200 and 59208?

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 59200 and 59208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59200 and 59208, than apply into the LCM equation.

GCF(59200,59208) = 8
LCM(59200,59208) = ( 59200 × 59208) / 8
LCM(59200,59208) = 3505113600 / 8
LCM(59200,59208) = 438139200

Least Common Multiple (LCM) of 59200 and 59208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59200 and 59208. First we will calculate the prime factors of 59200 and 59208.

Prime Factorization of 59200

Prime Factorization of 59208

Now multiplying the highest exponent prime factors to calculate the LCM of 59200 and 59208.

LCM(59200,59208) = 2⁶ × 5² × 37¹ × 3¹ × 2467¹
LCM(59200,59208) = 438139200