What is the Least Common Multiple of 76130 and 76135?

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 76130 and 76135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76130 and 76135, than apply into the LCM equation.

GCF(76130,76135) = 5
LCM(76130,76135) = ( 76130 × 76135) / 5
LCM(76130,76135) = 5796157550 / 5
LCM(76130,76135) = 1159231510

Least Common Multiple (LCM) of 76130 and 76135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76130 and 76135. First we will calculate the prime factors of 76130 and 76135.

Prime Factorization of 76130

Prime Factorization of 76135

Now multiplying the highest exponent prime factors to calculate the LCM of 76130 and 76135.

LCM(76130,76135) = 2¹ × 5¹ × 23¹ × 331¹ × 15227¹
LCM(76130,76135) = 1159231510