What is the Least Common Multiple of 4640 and 4649?

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 4640 and 4649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4640 and 4649, than apply into the LCM equation.

GCF(4640,4649) = 1
LCM(4640,4649) = ( 4640 × 4649) / 1
LCM(4640,4649) = 21571360 / 1
LCM(4640,4649) = 21571360

Least Common Multiple (LCM) of 4640 and 4649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4640 and 4649. First we will calculate the prime factors of 4640 and 4649.

Prime Factorization of 4640

Prime Factorization of 4649

Now multiplying the highest exponent prime factors to calculate the LCM of 4640 and 4649.

LCM(4640,4649) = 2⁵ × 5¹ × 29¹ × 4649¹
LCM(4640,4649) = 21571360