What is the Least Common Multiple of 52358 and 52369?

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 52358 and 52369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52358 and 52369, than apply into the LCM equation.

GCF(52358,52369) = 1
LCM(52358,52369) = ( 52358 × 52369) / 1
LCM(52358,52369) = 2741936102 / 1
LCM(52358,52369) = 2741936102

Least Common Multiple (LCM) of 52358 and 52369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52358 and 52369. First we will calculate the prime factors of 52358 and 52369.

Prime Factorization of 52358

Prime Factorization of 52369

Now multiplying the highest exponent prime factors to calculate the LCM of 52358 and 52369.

LCM(52358,52369) = 2¹ × 47¹ × 557¹ × 52369¹
LCM(52358,52369) = 2741936102