What is the Least Common Multiple of 26678 and 26688?

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 26678 and 26688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26678 and 26688, than apply into the LCM equation.

GCF(26678,26688) = 2
LCM(26678,26688) = ( 26678 × 26688) / 2
LCM(26678,26688) = 711982464 / 2
LCM(26678,26688) = 355991232

Least Common Multiple (LCM) of 26678 and 26688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26678 and 26688. First we will calculate the prime factors of 26678 and 26688.

Prime Factorization of 26678

Prime Factorization of 26688

Now multiplying the highest exponent prime factors to calculate the LCM of 26678 and 26688.

LCM(26678,26688) = 2⁶ × 13339¹ × 3¹ × 139¹
LCM(26678,26688) = 355991232