What is the Least Common Multiple of 59355 and 59374?

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 59374 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 59374, than apply into the LCM equation.

GCF(59355,59374) = 1
LCM(59355,59374) = ( 59355 × 59374) / 1
LCM(59355,59374) = 3524143770 / 1
LCM(59355,59374) = 3524143770

Least Common Multiple (LCM) of 59355 and 59374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59355 and 59374. First we will calculate the prime factors of 59355 and 59374.

Prime Factorization of 59355

Prime Factorization of 59374

Now multiplying the highest exponent prime factors to calculate the LCM of 59355 and 59374.

LCM(59355,59374) = 3² × 5¹ × 1319¹ × 2¹ × 7¹ × 4241¹
LCM(59355,59374) = 3524143770