What is the Least Common Multiple of 59365 and 59380?

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 59365 and 59380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59365 and 59380, than apply into the LCM equation.

GCF(59365,59380) = 5
LCM(59365,59380) = ( 59365 × 59380) / 5
LCM(59365,59380) = 3525093700 / 5
LCM(59365,59380) = 705018740

Least Common Multiple (LCM) of 59365 and 59380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59365 and 59380. First we will calculate the prime factors of 59365 and 59380.

Prime Factorization of 59365

Prime Factorization of 59380

Now multiplying the highest exponent prime factors to calculate the LCM of 59365 and 59380.

LCM(59365,59380) = 5¹ × 31¹ × 383¹ × 2² × 2969¹
LCM(59365,59380) = 705018740