What is the Least Common Multiple of 4620 and 4633?

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 4620 and 4633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4620 and 4633, than apply into the LCM equation.

GCF(4620,4633) = 1
LCM(4620,4633) = ( 4620 × 4633) / 1
LCM(4620,4633) = 21404460 / 1
LCM(4620,4633) = 21404460

Least Common Multiple (LCM) of 4620 and 4633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4620 and 4633. First we will calculate the prime factors of 4620 and 4633.

Prime Factorization of 4620

Prime Factorization of 4633

Now multiplying the highest exponent prime factors to calculate the LCM of 4620 and 4633.

LCM(4620,4633) = 2² × 3¹ × 5¹ × 7¹ × 11¹ × 41¹ × 113¹
LCM(4620,4633) = 21404460