What is the Least Common Multiple of 39410 and 39415?

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 39410 and 39415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39410 and 39415, than apply into the LCM equation.

GCF(39410,39415) = 5
LCM(39410,39415) = ( 39410 × 39415) / 5
LCM(39410,39415) = 1553345150 / 5
LCM(39410,39415) = 310669030

Least Common Multiple (LCM) of 39410 and 39415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39410 and 39415. First we will calculate the prime factors of 39410 and 39415.

Prime Factorization of 39410

Prime Factorization of 39415

Now multiplying the highest exponent prime factors to calculate the LCM of 39410 and 39415.

LCM(39410,39415) = 2¹ × 5¹ × 7¹ × 563¹ × 7883¹
LCM(39410,39415) = 310669030