What is the Least Common Multiple of 4624 and 4643?

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 4624 and 4643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4624 and 4643, than apply into the LCM equation.

GCF(4624,4643) = 1
LCM(4624,4643) = ( 4624 × 4643) / 1
LCM(4624,4643) = 21469232 / 1
LCM(4624,4643) = 21469232

Least Common Multiple (LCM) of 4624 and 4643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4624 and 4643. First we will calculate the prime factors of 4624 and 4643.

Prime Factorization of 4624

Prime Factorization of 4643

Now multiplying the highest exponent prime factors to calculate the LCM of 4624 and 4643.

LCM(4624,4643) = 2⁴ × 17² × 4643¹
LCM(4624,4643) = 21469232