What is the Least Common Multiple of 26564 and 26574?

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 26564 and 26574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26564 and 26574, than apply into the LCM equation.

GCF(26564,26574) = 2
LCM(26564,26574) = ( 26564 × 26574) / 2
LCM(26564,26574) = 705911736 / 2
LCM(26564,26574) = 352955868

Least Common Multiple (LCM) of 26564 and 26574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26564 and 26574. First we will calculate the prime factors of 26564 and 26574.

Prime Factorization of 26564

Prime Factorization of 26574

Now multiplying the highest exponent prime factors to calculate the LCM of 26564 and 26574.

LCM(26564,26574) = 2² × 29¹ × 229¹ × 3¹ × 43¹ × 103¹
LCM(26564,26574) = 352955868