What is the Least Common Multiple of 26562 and 26580?

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 26562 and 26580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26562 and 26580, than apply into the LCM equation.

GCF(26562,26580) = 6
LCM(26562,26580) = ( 26562 × 26580) / 6
LCM(26562,26580) = 706017960 / 6
LCM(26562,26580) = 117669660

Least Common Multiple (LCM) of 26562 and 26580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26562 and 26580. First we will calculate the prime factors of 26562 and 26580.

Prime Factorization of 26562

Prime Factorization of 26580

Now multiplying the highest exponent prime factors to calculate the LCM of 26562 and 26580.

LCM(26562,26580) = 2² × 3¹ × 19¹ × 233¹ × 5¹ × 443¹
LCM(26562,26580) = 117669660