What is the Least Common Multiple of 76136 and 76151?

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 76151 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 76151, than apply into the LCM equation.

GCF(76136,76151) = 1
LCM(76136,76151) = ( 76136 × 76151) / 1
LCM(76136,76151) = 5797832536 / 1
LCM(76136,76151) = 5797832536

Least Common Multiple (LCM) of 76136 and 76151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76136 and 76151. First we will calculate the prime factors of 76136 and 76151.

Prime Factorization of 76136

Prime Factorization of 76151

Now multiplying the highest exponent prime factors to calculate the LCM of 76136 and 76151.

LCM(76136,76151) = 2³ × 31¹ × 307¹ × 271¹ × 281¹
LCM(76136,76151) = 5797832536