What is the Least Common Multiple of 2628 and 2632?

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 2628 and 2632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2628 and 2632, than apply into the LCM equation.

GCF(2628,2632) = 4
LCM(2628,2632) = ( 2628 × 2632) / 4
LCM(2628,2632) = 6916896 / 4
LCM(2628,2632) = 1729224

Least Common Multiple (LCM) of 2628 and 2632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2628 and 2632. First we will calculate the prime factors of 2628 and 2632.

Prime Factorization of 2628

Prime Factorization of 2632

Now multiplying the highest exponent prime factors to calculate the LCM of 2628 and 2632.

LCM(2628,2632) = 2³ × 3² × 73¹ × 7¹ × 47¹
LCM(2628,2632) = 1729224