What is the Least Common Multiple of 92985 and 92994?

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 92994 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 92994, than apply into the LCM equation.

GCF(92985,92994) = 3
LCM(92985,92994) = ( 92985 × 92994) / 3
LCM(92985,92994) = 8647047090 / 3
LCM(92985,92994) = 2882349030

Least Common Multiple (LCM) of 92985 and 92994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92985 and 92994. First we will calculate the prime factors of 92985 and 92994.

Prime Factorization of 92985

Prime Factorization of 92994

Now multiplying the highest exponent prime factors to calculate the LCM of 92985 and 92994.

LCM(92985,92994) = 3¹ × 5¹ × 6199¹ × 2¹ × 11¹ × 1409¹
LCM(92985,92994) = 2882349030