What is the Least Common Multiple of 26219 and 26237?

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 26219 and 26237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26219 and 26237, than apply into the LCM equation.

GCF(26219,26237) = 1
LCM(26219,26237) = ( 26219 × 26237) / 1
LCM(26219,26237) = 687907903 / 1
LCM(26219,26237) = 687907903

Least Common Multiple (LCM) of 26219 and 26237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26219 and 26237. First we will calculate the prime factors of 26219 and 26237.

Prime Factorization of 26219

Prime Factorization of 26237

Now multiplying the highest exponent prime factors to calculate the LCM of 26219 and 26237.

LCM(26219,26237) = 157¹ × 167¹ × 26237¹
LCM(26219,26237) = 687907903