What is the Least Common Multiple of 59355 and 59370?

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 59355 and 59370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59355 and 59370, than apply into the LCM equation.

GCF(59355,59370) = 15
LCM(59355,59370) = ( 59355 × 59370) / 15
LCM(59355,59370) = 3523906350 / 15
LCM(59355,59370) = 234927090

Least Common Multiple (LCM) of 59355 and 59370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59355 and 59370. First we will calculate the prime factors of 59355 and 59370.

Prime Factorization of 59355

Prime Factorization of 59370

Now multiplying the highest exponent prime factors to calculate the LCM of 59355 and 59370.

LCM(59355,59370) = 3² × 5¹ × 1319¹ × 2¹ × 1979¹
LCM(59355,59370) = 234927090