What is the Least Common Multiple of 4642 and 4648?

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 4642 and 4648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4642 and 4648, than apply into the LCM equation.

GCF(4642,4648) = 2
LCM(4642,4648) = ( 4642 × 4648) / 2
LCM(4642,4648) = 21576016 / 2
LCM(4642,4648) = 10788008

Least Common Multiple (LCM) of 4642 and 4648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4642 and 4648. First we will calculate the prime factors of 4642 and 4648.

Prime Factorization of 4642

Prime Factorization of 4648

Now multiplying the highest exponent prime factors to calculate the LCM of 4642 and 4648.

LCM(4642,4648) = 2³ × 11¹ × 211¹ × 7¹ × 83¹
LCM(4642,4648) = 10788008