What is the Least Common Multiple of 59500 and 59520?

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 59500 and 59520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59500 and 59520, than apply into the LCM equation.

GCF(59500,59520) = 20
LCM(59500,59520) = ( 59500 × 59520) / 20
LCM(59500,59520) = 3541440000 / 20
LCM(59500,59520) = 177072000

Least Common Multiple (LCM) of 59500 and 59520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59500 and 59520. First we will calculate the prime factors of 59500 and 59520.

Prime Factorization of 59500

Prime Factorization of 59520

Now multiplying the highest exponent prime factors to calculate the LCM of 59500 and 59520.

LCM(59500,59520) = 2⁷ × 5³ × 7¹ × 17¹ × 3¹ × 31¹
LCM(59500,59520) = 177072000