What is the Least Common Multiple of 26736 and 26754?

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 26736 and 26754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26736 and 26754, than apply into the LCM equation.

GCF(26736,26754) = 6
LCM(26736,26754) = ( 26736 × 26754) / 6
LCM(26736,26754) = 715294944 / 6
LCM(26736,26754) = 119215824

Least Common Multiple (LCM) of 26736 and 26754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26736 and 26754. First we will calculate the prime factors of 26736 and 26754.

Prime Factorization of 26736

Prime Factorization of 26754

Now multiplying the highest exponent prime factors to calculate the LCM of 26736 and 26754.

LCM(26736,26754) = 2⁴ × 3¹ × 557¹ × 7³ × 13¹
LCM(26736,26754) = 119215824