What is the Least Common Multiple of 2635 and 2647?

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 2635 and 2647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2635 and 2647, than apply into the LCM equation.

GCF(2635,2647) = 1
LCM(2635,2647) = ( 2635 × 2647) / 1
LCM(2635,2647) = 6974845 / 1
LCM(2635,2647) = 6974845

Least Common Multiple (LCM) of 2635 and 2647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2635 and 2647. First we will calculate the prime factors of 2635 and 2647.

Prime Factorization of 2635

Prime Factorization of 2647

Now multiplying the highest exponent prime factors to calculate the LCM of 2635 and 2647.

LCM(2635,2647) = 5¹ × 17¹ × 31¹ × 2647¹
LCM(2635,2647) = 6974845