What is the Least Common Multiple of 92152 and 92167?

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 92152 and 92167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92152 and 92167, than apply into the LCM equation.

GCF(92152,92167) = 1
LCM(92152,92167) = ( 92152 × 92167) / 1
LCM(92152,92167) = 8493373384 / 1
LCM(92152,92167) = 8493373384

Least Common Multiple (LCM) of 92152 and 92167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92152 and 92167. First we will calculate the prime factors of 92152 and 92167.

Prime Factorization of 92152

Prime Factorization of 92167

Now multiplying the highest exponent prime factors to calculate the LCM of 92152 and 92167.

LCM(92152,92167) = 2³ × 11519¹ × 37¹ × 47¹ × 53¹
LCM(92152,92167) = 8493373384