What is the Least Common Multiple of 26025 and 26038?

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 26025 and 26038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26025 and 26038, than apply into the LCM equation.

GCF(26025,26038) = 1
LCM(26025,26038) = ( 26025 × 26038) / 1
LCM(26025,26038) = 677638950 / 1
LCM(26025,26038) = 677638950

Least Common Multiple (LCM) of 26025 and 26038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26025 and 26038. First we will calculate the prime factors of 26025 and 26038.

Prime Factorization of 26025

Prime Factorization of 26038

Now multiplying the highest exponent prime factors to calculate the LCM of 26025 and 26038.

LCM(26025,26038) = 3¹ × 5² × 347¹ × 2¹ × 47¹ × 277¹
LCM(26025,26038) = 677638950