What is the Least Common Multiple of 26960 and 26972?

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 26972 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 26972, than apply into the LCM equation.

GCF(26960,26972) = 4
LCM(26960,26972) = ( 26960 × 26972) / 4
LCM(26960,26972) = 727165120 / 4
LCM(26960,26972) = 181791280

Least Common Multiple (LCM) of 26960 and 26972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26960 and 26972. First we will calculate the prime factors of 26960 and 26972.

Prime Factorization of 26960

Prime Factorization of 26972

Now multiplying the highest exponent prime factors to calculate the LCM of 26960 and 26972.

LCM(26960,26972) = 2⁴ × 5¹ × 337¹ × 11¹ × 613¹
LCM(26960,26972) = 181791280