What is the Least Common Multiple of 52457 and 52469?

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 52457 and 52469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52457 and 52469, than apply into the LCM equation.

GCF(52457,52469) = 1
LCM(52457,52469) = ( 52457 × 52469) / 1
LCM(52457,52469) = 2752366333 / 1
LCM(52457,52469) = 2752366333

Least Common Multiple (LCM) of 52457 and 52469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52457 and 52469. First we will calculate the prime factors of 52457 and 52469.

Prime Factorization of 52457

Prime Factorization of 52469

Now multiplying the highest exponent prime factors to calculate the LCM of 52457 and 52469.

LCM(52457,52469) = 52457¹ × 71¹ × 739¹
LCM(52457,52469) = 2752366333