What is the Least Common Multiple of 76110 and 76115?

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 76110 and 76115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76110 and 76115, than apply into the LCM equation.

GCF(76110,76115) = 5
LCM(76110,76115) = ( 76110 × 76115) / 5
LCM(76110,76115) = 5793112650 / 5
LCM(76110,76115) = 1158622530

Least Common Multiple (LCM) of 76110 and 76115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76110 and 76115. First we will calculate the prime factors of 76110 and 76115.

Prime Factorization of 76110

Prime Factorization of 76115

Now multiplying the highest exponent prime factors to calculate the LCM of 76110 and 76115.

LCM(76110,76115) = 2¹ × 3¹ × 5¹ × 43¹ × 59¹ × 13¹ × 1171¹
LCM(76110,76115) = 1158622530