What is the Least Common Multiple of 92170 and 92182?

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 92170 and 92182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92170 and 92182, than apply into the LCM equation.

GCF(92170,92182) = 2
LCM(92170,92182) = ( 92170 × 92182) / 2
LCM(92170,92182) = 8496414940 / 2
LCM(92170,92182) = 4248207470

Least Common Multiple (LCM) of 92170 and 92182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92170 and 92182. First we will calculate the prime factors of 92170 and 92182.

Prime Factorization of 92170

Prime Factorization of 92182

Now multiplying the highest exponent prime factors to calculate the LCM of 92170 and 92182.

LCM(92170,92182) = 2¹ × 5¹ × 13¹ × 709¹ × 46091¹
LCM(92170,92182) = 4248207470