What is the Least Common Multiple of 26700 and 26714?

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 26700 and 26714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26700 and 26714, than apply into the LCM equation.

GCF(26700,26714) = 2
LCM(26700,26714) = ( 26700 × 26714) / 2
LCM(26700,26714) = 713263800 / 2
LCM(26700,26714) = 356631900

Least Common Multiple (LCM) of 26700 and 26714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26700 and 26714. First we will calculate the prime factors of 26700 and 26714.

Prime Factorization of 26700

Prime Factorization of 26714

Now multiplying the highest exponent prime factors to calculate the LCM of 26700 and 26714.

LCM(26700,26714) = 2² × 3¹ × 5² × 89¹ × 19² × 37¹
LCM(26700,26714) = 356631900