What is the Least Common Multiple of 4628 and 4641?

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 4628 and 4641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4628 and 4641, than apply into the LCM equation.

GCF(4628,4641) = 13
LCM(4628,4641) = ( 4628 × 4641) / 13
LCM(4628,4641) = 21478548 / 13
LCM(4628,4641) = 1652196

Least Common Multiple (LCM) of 4628 and 4641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4628 and 4641. First we will calculate the prime factors of 4628 and 4641.

Prime Factorization of 4628

Prime Factorization of 4641

Now multiplying the highest exponent prime factors to calculate the LCM of 4628 and 4641.

LCM(4628,4641) = 2² × 13¹ × 89¹ × 3¹ × 7¹ × 17¹
LCM(4628,4641) = 1652196