What is the Least Common Multiple of 26635 and 26653?

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 26635 and 26653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26635 and 26653, than apply into the LCM equation.

GCF(26635,26653) = 1
LCM(26635,26653) = ( 26635 × 26653) / 1
LCM(26635,26653) = 709902655 / 1
LCM(26635,26653) = 709902655

Least Common Multiple (LCM) of 26635 and 26653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26635 and 26653. First we will calculate the prime factors of 26635 and 26653.

Prime Factorization of 26635

Prime Factorization of 26653

Now multiplying the highest exponent prime factors to calculate the LCM of 26635 and 26653.

LCM(26635,26653) = 5¹ × 7¹ × 761¹ × 11¹ × 2423¹
LCM(26635,26653) = 709902655