What is the Least Common Multiple of 52629 and 52646?

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 52629 and 52646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52629 and 52646, than apply into the LCM equation.

GCF(52629,52646) = 1
LCM(52629,52646) = ( 52629 × 52646) / 1
LCM(52629,52646) = 2770706334 / 1
LCM(52629,52646) = 2770706334

Least Common Multiple (LCM) of 52629 and 52646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52629 and 52646. First we will calculate the prime factors of 52629 and 52646.

Prime Factorization of 52629

Prime Factorization of 52646

Now multiplying the highest exponent prime factors to calculate the LCM of 52629 and 52646.

LCM(52629,52646) = 3¹ × 53¹ × 331¹ × 2¹ × 11¹ × 2393¹
LCM(52629,52646) = 2770706334