What is the Least Common Multiple of 26574 and 26585?

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 26574 and 26585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26574 and 26585, than apply into the LCM equation.

GCF(26574,26585) = 1
LCM(26574,26585) = ( 26574 × 26585) / 1
LCM(26574,26585) = 706469790 / 1
LCM(26574,26585) = 706469790

Least Common Multiple (LCM) of 26574 and 26585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26574 and 26585. First we will calculate the prime factors of 26574 and 26585.

Prime Factorization of 26574

Prime Factorization of 26585

Now multiplying the highest exponent prime factors to calculate the LCM of 26574 and 26585.

LCM(26574,26585) = 2¹ × 3¹ × 43¹ × 103¹ × 5¹ × 13¹ × 409¹
LCM(26574,26585) = 706469790