What is the Least Common Multiple of 26274 and 26288?

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 26274 and 26288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26274 and 26288, than apply into the LCM equation.

GCF(26274,26288) = 2
LCM(26274,26288) = ( 26274 × 26288) / 2
LCM(26274,26288) = 690690912 / 2
LCM(26274,26288) = 345345456

Least Common Multiple (LCM) of 26274 and 26288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26274 and 26288. First we will calculate the prime factors of 26274 and 26288.

Prime Factorization of 26274

Prime Factorization of 26288

Now multiplying the highest exponent prime factors to calculate the LCM of 26274 and 26288.

LCM(26274,26288) = 2⁴ × 3¹ × 29¹ × 151¹ × 31¹ × 53¹
LCM(26274,26288) = 345345456