What is the Least Common Multiple of 53355 and 53374?

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 53355 and 53374 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53355 and 53374, than apply into the LCM equation.

GCF(53355,53374) = 1
LCM(53355,53374) = ( 53355 × 53374) / 1
LCM(53355,53374) = 2847769770 / 1
LCM(53355,53374) = 2847769770

Least Common Multiple (LCM) of 53355 and 53374 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53355 and 53374. First we will calculate the prime factors of 53355 and 53374.

Prime Factorization of 53355

Prime Factorization of 53374

Now multiplying the highest exponent prime factors to calculate the LCM of 53355 and 53374.

LCM(53355,53374) = 3¹ × 5¹ × 3557¹ × 2¹ × 26687¹
LCM(53355,53374) = 2847769770