What is the Least Common Multiple of 26720 and 26735?

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 26720 and 26735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26720 and 26735, than apply into the LCM equation.

GCF(26720,26735) = 5
LCM(26720,26735) = ( 26720 × 26735) / 5
LCM(26720,26735) = 714359200 / 5
LCM(26720,26735) = 142871840

Least Common Multiple (LCM) of 26720 and 26735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26720 and 26735. First we will calculate the prime factors of 26720 and 26735.

Prime Factorization of 26720

Prime Factorization of 26735

Now multiplying the highest exponent prime factors to calculate the LCM of 26720 and 26735.

LCM(26720,26735) = 2⁵ × 5¹ × 167¹ × 5347¹
LCM(26720,26735) = 142871840