What is the Least Common Multiple of 65642 and 65646?

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 65642 and 65646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65642 and 65646, than apply into the LCM equation.

GCF(65642,65646) = 2
LCM(65642,65646) = ( 65642 × 65646) / 2
LCM(65642,65646) = 4309134732 / 2
LCM(65642,65646) = 2154567366

Least Common Multiple (LCM) of 65642 and 65646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65642 and 65646. First we will calculate the prime factors of 65642 and 65646.

Prime Factorization of 65642

Prime Factorization of 65646

Now multiplying the highest exponent prime factors to calculate the LCM of 65642 and 65646.

LCM(65642,65646) = 2¹ × 23¹ × 1427¹ × 3² × 7¹ × 521¹
LCM(65642,65646) = 2154567366