What is the Least Common Multiple of 45195 and 45215?

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 45195 and 45215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45195 and 45215, than apply into the LCM equation.

GCF(45195,45215) = 5
LCM(45195,45215) = ( 45195 × 45215) / 5
LCM(45195,45215) = 2043491925 / 5
LCM(45195,45215) = 408698385

Least Common Multiple (LCM) of 45195 and 45215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45195 and 45215. First we will calculate the prime factors of 45195 and 45215.

Prime Factorization of 45195

Prime Factorization of 45215

Now multiplying the highest exponent prime factors to calculate the LCM of 45195 and 45215.

LCM(45195,45215) = 3¹ × 5¹ × 23¹ × 131¹ × 9043¹
LCM(45195,45215) = 408698385