What is the Least Common Multiple of 52377 and 52383?

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 52377 and 52383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52377 and 52383, than apply into the LCM equation.

GCF(52377,52383) = 3
LCM(52377,52383) = ( 52377 × 52383) / 3
LCM(52377,52383) = 2743664391 / 3
LCM(52377,52383) = 914554797

Least Common Multiple (LCM) of 52377 and 52383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52377 and 52383. First we will calculate the prime factors of 52377 and 52383.

Prime Factorization of 52377

Prime Factorization of 52383

Now multiplying the highest exponent prime factors to calculate the LCM of 52377 and 52383.

LCM(52377,52383) = 3¹ × 13¹ × 17¹ × 79¹ × 19¹ × 919¹
LCM(52377,52383) = 914554797