What is the Least Common Multiple of 26520 and 26533?

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 26520 and 26533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26520 and 26533, than apply into the LCM equation.

GCF(26520,26533) = 13
LCM(26520,26533) = ( 26520 × 26533) / 13
LCM(26520,26533) = 703655160 / 13
LCM(26520,26533) = 54127320

Least Common Multiple (LCM) of 26520 and 26533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26520 and 26533. First we will calculate the prime factors of 26520 and 26533.

Prime Factorization of 26520

Prime Factorization of 26533

Now multiplying the highest exponent prime factors to calculate the LCM of 26520 and 26533.

LCM(26520,26533) = 2³ × 3¹ × 5¹ × 13² × 17¹ × 157¹
LCM(26520,26533) = 54127320