What is the Least Common Multiple of 26049 and 26067?

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 26049 and 26067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26049 and 26067, than apply into the LCM equation.

GCF(26049,26067) = 3
LCM(26049,26067) = ( 26049 × 26067) / 3
LCM(26049,26067) = 679019283 / 3
LCM(26049,26067) = 226339761

Least Common Multiple (LCM) of 26049 and 26067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26049 and 26067. First we will calculate the prime factors of 26049 and 26067.

Prime Factorization of 26049

Prime Factorization of 26067

Now multiplying the highest exponent prime factors to calculate the LCM of 26049 and 26067.

LCM(26049,26067) = 3¹ × 19¹ × 457¹ × 8689¹
LCM(26049,26067) = 226339761