What is the Least Common Multiple of 92151 and 92169?

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 92151 and 92169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92151 and 92169, than apply into the LCM equation.

GCF(92151,92169) = 9
LCM(92151,92169) = ( 92151 × 92169) / 9
LCM(92151,92169) = 8493465519 / 9
LCM(92151,92169) = 943718391

Least Common Multiple (LCM) of 92151 and 92169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92151 and 92169. First we will calculate the prime factors of 92151 and 92169.

Prime Factorization of 92151

Prime Factorization of 92169

Now multiplying the highest exponent prime factors to calculate the LCM of 92151 and 92169.

LCM(92151,92169) = 3³ × 3413¹ × 7² × 11¹ × 19¹
LCM(92151,92169) = 943718391