What is the Least Common Multiple of 78162 and 78171?

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 78162 and 78171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78162 and 78171, than apply into the LCM equation.

GCF(78162,78171) = 3
LCM(78162,78171) = ( 78162 × 78171) / 3
LCM(78162,78171) = 6110001702 / 3
LCM(78162,78171) = 2036667234

Least Common Multiple (LCM) of 78162 and 78171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78162 and 78171. First we will calculate the prime factors of 78162 and 78171.

Prime Factorization of 78162

Prime Factorization of 78171

Now multiplying the highest exponent prime factors to calculate the LCM of 78162 and 78171.

LCM(78162,78171) = 2¹ × 3¹ × 7¹ × 1861¹ × 71¹ × 367¹
LCM(78162,78171) = 2036667234