What is the Least Common Multiple of 27408 and 27417?

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 27408 and 27417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27408 and 27417, than apply into the LCM equation.

GCF(27408,27417) = 3
LCM(27408,27417) = ( 27408 × 27417) / 3
LCM(27408,27417) = 751445136 / 3
LCM(27408,27417) = 250481712

Least Common Multiple (LCM) of 27408 and 27417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27408 and 27417. First we will calculate the prime factors of 27408 and 27417.

Prime Factorization of 27408

Prime Factorization of 27417

Now multiplying the highest exponent prime factors to calculate the LCM of 27408 and 27417.

LCM(27408,27417) = 2⁴ × 3¹ × 571¹ × 13¹ × 19¹ × 37¹
LCM(27408,27417) = 250481712