What is the Least Common Multiple of 26280 and 26295?

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 26280 and 26295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26280 and 26295, than apply into the LCM equation.

GCF(26280,26295) = 15
LCM(26280,26295) = ( 26280 × 26295) / 15
LCM(26280,26295) = 691032600 / 15
LCM(26280,26295) = 46068840

Least Common Multiple (LCM) of 26280 and 26295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26280 and 26295. First we will calculate the prime factors of 26280 and 26295.

Prime Factorization of 26280

Prime Factorization of 26295

Now multiplying the highest exponent prime factors to calculate the LCM of 26280 and 26295.

LCM(26280,26295) = 2³ × 3² × 5¹ × 73¹ × 1753¹
LCM(26280,26295) = 46068840