What is the Least Common Multiple of 26742 and 26751?

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 26742 and 26751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26742 and 26751, than apply into the LCM equation.

GCF(26742,26751) = 3
LCM(26742,26751) = ( 26742 × 26751) / 3
LCM(26742,26751) = 715375242 / 3
LCM(26742,26751) = 238458414

Least Common Multiple (LCM) of 26742 and 26751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26742 and 26751. First we will calculate the prime factors of 26742 and 26751.

Prime Factorization of 26742

Prime Factorization of 26751

Now multiplying the highest exponent prime factors to calculate the LCM of 26742 and 26751.

LCM(26742,26751) = 2¹ × 3¹ × 4457¹ × 37¹ × 241¹
LCM(26742,26751) = 238458414