What is the Least Common Multiple of 26038 and 26049?

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 26038 and 26049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26038 and 26049, than apply into the LCM equation.

GCF(26038,26049) = 1
LCM(26038,26049) = ( 26038 × 26049) / 1
LCM(26038,26049) = 678263862 / 1
LCM(26038,26049) = 678263862

Least Common Multiple (LCM) of 26038 and 26049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26038 and 26049. First we will calculate the prime factors of 26038 and 26049.

Prime Factorization of 26038

Prime Factorization of 26049

Now multiplying the highest exponent prime factors to calculate the LCM of 26038 and 26049.

LCM(26038,26049) = 2¹ × 47¹ × 277¹ × 3¹ × 19¹ × 457¹
LCM(26038,26049) = 678263862