What is the Least Common Multiple of 93405 and 93415?

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 93405 and 93415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93405 and 93415, than apply into the LCM equation.

GCF(93405,93415) = 5
LCM(93405,93415) = ( 93405 × 93415) / 5
LCM(93405,93415) = 8725428075 / 5
LCM(93405,93415) = 1745085615

Least Common Multiple (LCM) of 93405 and 93415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93405 and 93415. First we will calculate the prime factors of 93405 and 93415.

Prime Factorization of 93405

Prime Factorization of 93415

Now multiplying the highest exponent prime factors to calculate the LCM of 93405 and 93415.

LCM(93405,93415) = 3¹ × 5¹ × 13¹ × 479¹ × 7¹ × 17¹ × 157¹
LCM(93405,93415) = 1745085615