What is the Least Common Multiple of 56364 and 56369?

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 56364 and 56369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56364 and 56369, than apply into the LCM equation.

GCF(56364,56369) = 1
LCM(56364,56369) = ( 56364 × 56369) / 1
LCM(56364,56369) = 3177182316 / 1
LCM(56364,56369) = 3177182316

Least Common Multiple (LCM) of 56364 and 56369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56364 and 56369. First we will calculate the prime factors of 56364 and 56369.

Prime Factorization of 56364

Prime Factorization of 56369

Now multiplying the highest exponent prime factors to calculate the LCM of 56364 and 56369.

LCM(56364,56369) = 2² × 3¹ × 7¹ × 11¹ × 61¹ × 56369¹
LCM(56364,56369) = 3177182316