What is the Least Common Multiple of 26714 and 26733?

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 26714 and 26733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26714 and 26733, than apply into the LCM equation.

GCF(26714,26733) = 19
LCM(26714,26733) = ( 26714 × 26733) / 19
LCM(26714,26733) = 714145362 / 19
LCM(26714,26733) = 37586598

Least Common Multiple (LCM) of 26714 and 26733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26714 and 26733. First we will calculate the prime factors of 26714 and 26733.

Prime Factorization of 26714

Prime Factorization of 26733

Now multiplying the highest exponent prime factors to calculate the LCM of 26714 and 26733.

LCM(26714,26733) = 2¹ × 19² × 37¹ × 3¹ × 7¹ × 67¹
LCM(26714,26733) = 37586598