What is the Least Common Multiple of 92160 and 92171?

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 92160 and 92171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92160 and 92171, than apply into the LCM equation.

GCF(92160,92171) = 1
LCM(92160,92171) = ( 92160 × 92171) / 1
LCM(92160,92171) = 8494479360 / 1
LCM(92160,92171) = 8494479360

Least Common Multiple (LCM) of 92160 and 92171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92160 and 92171. First we will calculate the prime factors of 92160 and 92171.

Prime Factorization of 92160

Prime Factorization of 92171

Now multiplying the highest exponent prime factors to calculate the LCM of 92160 and 92171.

LCM(92160,92171) = 2¹¹ × 3² × 5¹ × 61¹ × 1511¹
LCM(92160,92171) = 8494479360