What is the Least Common Multiple of 52460 and 52474?

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 52460 and 52474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52460 and 52474, than apply into the LCM equation.

GCF(52460,52474) = 2
LCM(52460,52474) = ( 52460 × 52474) / 2
LCM(52460,52474) = 2752786040 / 2
LCM(52460,52474) = 1376393020

Least Common Multiple (LCM) of 52460 and 52474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52460 and 52474. First we will calculate the prime factors of 52460 and 52474.

Prime Factorization of 52460

Prime Factorization of 52474

Now multiplying the highest exponent prime factors to calculate the LCM of 52460 and 52474.

LCM(52460,52474) = 2² × 5¹ × 43¹ × 61¹ × 26237¹
LCM(52460,52474) = 1376393020