What is the Least Common Multiple of 92002 and 92007?

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 92002 and 92007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92002 and 92007, than apply into the LCM equation.

GCF(92002,92007) = 1
LCM(92002,92007) = ( 92002 × 92007) / 1
LCM(92002,92007) = 8464828014 / 1
LCM(92002,92007) = 8464828014

Least Common Multiple (LCM) of 92002 and 92007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92002 and 92007. First we will calculate the prime factors of 92002 and 92007.

Prime Factorization of 92002

Prime Factorization of 92007

Now multiplying the highest exponent prime factors to calculate the LCM of 92002 and 92007.

LCM(92002,92007) = 2¹ × 157¹ × 293¹ × 3² × 10223¹
LCM(92002,92007) = 8464828014