What is the Least Common Multiple of 52602 and 52613?

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 52602 and 52613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52602 and 52613, than apply into the LCM equation.

GCF(52602,52613) = 11
LCM(52602,52613) = ( 52602 × 52613) / 11
LCM(52602,52613) = 2767549026 / 11
LCM(52602,52613) = 251595366

Least Common Multiple (LCM) of 52602 and 52613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52602 and 52613. First we will calculate the prime factors of 52602 and 52613.

Prime Factorization of 52602

Prime Factorization of 52613

Now multiplying the highest exponent prime factors to calculate the LCM of 52602 and 52613.

LCM(52602,52613) = 2¹ × 3¹ × 11¹ × 797¹ × 4783¹
LCM(52602,52613) = 251595366