What is the Least Common Multiple of 26628 and 26635?

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 26628 and 26635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26628 and 26635, than apply into the LCM equation.

GCF(26628,26635) = 7
LCM(26628,26635) = ( 26628 × 26635) / 7
LCM(26628,26635) = 709236780 / 7
LCM(26628,26635) = 101319540

Least Common Multiple (LCM) of 26628 and 26635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26628 and 26635. First we will calculate the prime factors of 26628 and 26635.

Prime Factorization of 26628

Prime Factorization of 26635

Now multiplying the highest exponent prime factors to calculate the LCM of 26628 and 26635.

LCM(26628,26635) = 2² × 3¹ × 7¹ × 317¹ × 5¹ × 761¹
LCM(26628,26635) = 101319540