What is the Least Common Multiple of 39408 and 39417?

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 39408 and 39417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39408 and 39417, than apply into the LCM equation.

GCF(39408,39417) = 3
LCM(39408,39417) = ( 39408 × 39417) / 3
LCM(39408,39417) = 1553345136 / 3
LCM(39408,39417) = 517781712

Least Common Multiple (LCM) of 39408 and 39417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39408 and 39417. First we will calculate the prime factors of 39408 and 39417.

Prime Factorization of 39408

Prime Factorization of 39417

Now multiplying the highest exponent prime factors to calculate the LCM of 39408 and 39417.

LCM(39408,39417) = 2⁴ × 3¹ × 821¹ × 7¹ × 1877¹
LCM(39408,39417) = 517781712