What is the Least Common Multiple of 65640 and 65658?

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 65640 and 65658 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65640 and 65658, than apply into the LCM equation.

GCF(65640,65658) = 6
LCM(65640,65658) = ( 65640 × 65658) / 6
LCM(65640,65658) = 4309791120 / 6
LCM(65640,65658) = 718298520

Least Common Multiple (LCM) of 65640 and 65658 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65640 and 65658. First we will calculate the prime factors of 65640 and 65658.

Prime Factorization of 65640

Prime Factorization of 65658

Now multiplying the highest exponent prime factors to calculate the LCM of 65640 and 65658.

LCM(65640,65658) = 2³ × 3¹ × 5¹ × 547¹ × 31¹ × 353¹
LCM(65640,65658) = 718298520