What is the Least Common Multiple of 76605 and 76615?

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 76605 and 76615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76605 and 76615, than apply into the LCM equation.

GCF(76605,76615) = 5
LCM(76605,76615) = ( 76605 × 76615) / 5
LCM(76605,76615) = 5869092075 / 5
LCM(76605,76615) = 1173818415

Least Common Multiple (LCM) of 76605 and 76615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76605 and 76615. First we will calculate the prime factors of 76605 and 76615.

Prime Factorization of 76605

Prime Factorization of 76615

Now multiplying the highest exponent prime factors to calculate the LCM of 76605 and 76615.

LCM(76605,76615) = 3¹ × 5¹ × 5107¹ × 7¹ × 11¹ × 199¹
LCM(76605,76615) = 1173818415