GCF and LCM Calculator Logo

What is the Least Common Multiple of 2645 and 2652?

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 (LCM) of 2645 and 2652 is 7014540.

LCM(2645,2652) = 7014540

LCM Calculator and
and

Least Common Multiple of 2645 and 2652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2645 and 2652, than apply into the LCM equation.

GCF(2645,2652) = 1
LCM(2645,2652) = ( 2645 × 2652) / 1
LCM(2645,2652) = 7014540 / 1
LCM(2645,2652) = 7014540

Least Common Multiple (LCM) of 2645 and 2652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2645 and 2652. First we will calculate the prime factors of 2645 and 2652.

Prime Factorization of 2645

Prime factors of 2645 are 5, 23. Prime factorization of 2645 in exponential form is:

2645 = 51 × 232

Prime Factorization of 2652

Prime factors of 2652 are 2, 3, 13, 17. Prime factorization of 2652 in exponential form is:

2652 = 22 × 31 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 2645 and 2652.

LCM(2645,2652) = 51 × 232 × 22 × 31 × 131 × 171
LCM(2645,2652) = 7014540