What is the Least Common Multiple of 27417 and 27436?

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 27417 and 27436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27417 and 27436, than apply into the LCM equation.

GCF(27417,27436) = 19
LCM(27417,27436) = ( 27417 × 27436) / 19
LCM(27417,27436) = 752212812 / 19
LCM(27417,27436) = 39590148

Least Common Multiple (LCM) of 27417 and 27436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27417 and 27436. First we will calculate the prime factors of 27417 and 27436.

Prime Factorization of 27417

Prime Factorization of 27436

Now multiplying the highest exponent prime factors to calculate the LCM of 27417 and 27436.

LCM(27417,27436) = 3¹ × 13¹ × 19³ × 37¹ × 2²
LCM(27417,27436) = 39590148