What is the Least Common Multiple of 26960 and 26975?

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 26960 and 26975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26960 and 26975, than apply into the LCM equation.

GCF(26960,26975) = 5
LCM(26960,26975) = ( 26960 × 26975) / 5
LCM(26960,26975) = 727246000 / 5
LCM(26960,26975) = 145449200

Least Common Multiple (LCM) of 26960 and 26975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26960 and 26975. First we will calculate the prime factors of 26960 and 26975.

Prime Factorization of 26960

Prime Factorization of 26975

Now multiplying the highest exponent prime factors to calculate the LCM of 26960 and 26975.

LCM(26960,26975) = 2⁴ × 5² × 337¹ × 13¹ × 83¹
LCM(26960,26975) = 145449200