What is the Least Common Multiple of 53458 and 53474?

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 53458 and 53474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53458 and 53474, than apply into the LCM equation.

GCF(53458,53474) = 2
LCM(53458,53474) = ( 53458 × 53474) / 2
LCM(53458,53474) = 2858613092 / 2
LCM(53458,53474) = 1429306546

Least Common Multiple (LCM) of 53458 and 53474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53458 and 53474. First we will calculate the prime factors of 53458 and 53474.

Prime Factorization of 53458

Prime Factorization of 53474

Now multiplying the highest exponent prime factors to calculate the LCM of 53458 and 53474.

LCM(53458,53474) = 2¹ × 26729¹ × 26737¹
LCM(53458,53474) = 1429306546