What is the Least Common Multiple of 26365 and 26385?

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 26365 and 26385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26365 and 26385, than apply into the LCM equation.

GCF(26365,26385) = 5
LCM(26365,26385) = ( 26365 × 26385) / 5
LCM(26365,26385) = 695640525 / 5
LCM(26365,26385) = 139128105

Least Common Multiple (LCM) of 26365 and 26385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26365 and 26385. First we will calculate the prime factors of 26365 and 26385.

Prime Factorization of 26365

Prime Factorization of 26385

Now multiplying the highest exponent prime factors to calculate the LCM of 26365 and 26385.

LCM(26365,26385) = 5¹ × 5273¹ × 3¹ × 1759¹
LCM(26365,26385) = 139128105