What is the Least Common Multiple of 26562 and 26577?

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 26577 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 26577, than apply into the LCM equation.

GCF(26562,26577) = 3
LCM(26562,26577) = ( 26562 × 26577) / 3
LCM(26562,26577) = 705938274 / 3
LCM(26562,26577) = 235312758

Least Common Multiple (LCM) of 26562 and 26577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26562 and 26577. First we will calculate the prime factors of 26562 and 26577.

Prime Factorization of 26562

Prime Factorization of 26577

Now multiplying the highest exponent prime factors to calculate the LCM of 26562 and 26577.

LCM(26562,26577) = 2¹ × 3² × 19¹ × 233¹ × 2953¹
LCM(26562,26577) = 235312758