What is the Least Common Multiple of 59355 and 59373?

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 59373 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 59373, than apply into the LCM equation.

GCF(59355,59373) = 9
LCM(59355,59373) = ( 59355 × 59373) / 9
LCM(59355,59373) = 3524084415 / 9
LCM(59355,59373) = 391564935

Least Common Multiple (LCM) of 59355 and 59373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59355 and 59373. First we will calculate the prime factors of 59355 and 59373.

Prime Factorization of 59355

Prime Factorization of 59373

Now multiplying the highest exponent prime factors to calculate the LCM of 59355 and 59373.

LCM(59355,59373) = 3⁴ × 5¹ × 1319¹ × 733¹
LCM(59355,59373) = 391564935