What is the Least Common Multiple of 26736 and 26749?

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 26749 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 26749, than apply into the LCM equation.

GCF(26736,26749) = 1
LCM(26736,26749) = ( 26736 × 26749) / 1
LCM(26736,26749) = 715161264 / 1
LCM(26736,26749) = 715161264

Least Common Multiple (LCM) of 26736 and 26749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26736 and 26749. First we will calculate the prime factors of 26736 and 26749.

Prime Factorization of 26736

Prime Factorization of 26749

Now multiplying the highest exponent prime factors to calculate the LCM of 26736 and 26749.

LCM(26736,26749) = 2⁴ × 3¹ × 557¹ × 23¹ × 1163¹
LCM(26736,26749) = 715161264