What is the Least Common Multiple of 92985 and 92996?

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 92985 and 92996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92985 and 92996, than apply into the LCM equation.

GCF(92985,92996) = 1
LCM(92985,92996) = ( 92985 × 92996) / 1
LCM(92985,92996) = 8647233060 / 1
LCM(92985,92996) = 8647233060

Least Common Multiple (LCM) of 92985 and 92996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92985 and 92996. First we will calculate the prime factors of 92985 and 92996.

Prime Factorization of 92985

Prime Factorization of 92996

Now multiplying the highest exponent prime factors to calculate the LCM of 92985 and 92996.

LCM(92985,92996) = 3¹ × 5¹ × 6199¹ × 2² × 67¹ × 347¹
LCM(92985,92996) = 8647233060