What is the Least Common Multiple of 45395 and 45415?

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 45395 and 45415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45395 and 45415, than apply into the LCM equation.

GCF(45395,45415) = 5
LCM(45395,45415) = ( 45395 × 45415) / 5
LCM(45395,45415) = 2061613925 / 5
LCM(45395,45415) = 412322785

Least Common Multiple (LCM) of 45395 and 45415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45395 and 45415. First we will calculate the prime factors of 45395 and 45415.

Prime Factorization of 45395

Prime Factorization of 45415

Now multiplying the highest exponent prime factors to calculate the LCM of 45395 and 45415.

LCM(45395,45415) = 5¹ × 7¹ × 1297¹ × 31¹ × 293¹
LCM(45395,45415) = 412322785