What is the Least Common Multiple of 76151 and 76171?

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 76151 and 76171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76151 and 76171, than apply into the LCM equation.

GCF(76151,76171) = 1
LCM(76151,76171) = ( 76151 × 76171) / 1
LCM(76151,76171) = 5800497821 / 1
LCM(76151,76171) = 5800497821

Least Common Multiple (LCM) of 76151 and 76171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76151 and 76171. First we will calculate the prime factors of 76151 and 76171.

Prime Factorization of 76151

Prime Factorization of 76171

Now multiplying the highest exponent prime factors to calculate the LCM of 76151 and 76171.

LCM(76151,76171) = 271¹ × 281¹ × 19² × 211¹
LCM(76151,76171) = 5800497821