What is the Least Common Multiple of 76136 and 76155?

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 76136 and 76155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76136 and 76155, than apply into the LCM equation.

GCF(76136,76155) = 1
LCM(76136,76155) = ( 76136 × 76155) / 1
LCM(76136,76155) = 5798137080 / 1
LCM(76136,76155) = 5798137080

Least Common Multiple (LCM) of 76136 and 76155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76136 and 76155. First we will calculate the prime factors of 76136 and 76155.

Prime Factorization of 76136

Prime Factorization of 76155

Now multiplying the highest exponent prime factors to calculate the LCM of 76136 and 76155.

LCM(76136,76155) = 2³ × 31¹ × 307¹ × 3¹ × 5¹ × 5077¹
LCM(76136,76155) = 5798137080