What is the Least Common Multiple of 85405 and 85415?

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 85405 and 85415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85405 and 85415, than apply into the LCM equation.

GCF(85405,85415) = 5
LCM(85405,85415) = ( 85405 × 85415) / 5
LCM(85405,85415) = 7294868075 / 5
LCM(85405,85415) = 1458973615

Least Common Multiple (LCM) of 85405 and 85415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85405 and 85415. First we will calculate the prime factors of 85405 and 85415.

Prime Factorization of 85405

Prime Factorization of 85415

Now multiplying the highest exponent prime factors to calculate the LCM of 85405 and 85415.

LCM(85405,85415) = 5¹ × 19¹ × 29¹ × 31¹ × 11¹ × 1553¹
LCM(85405,85415) = 1458973615