What is the Least Common Multiple of 92974 and 92985?

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 92974 and 92985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92974 and 92985, than apply into the LCM equation.

GCF(92974,92985) = 1
LCM(92974,92985) = ( 92974 × 92985) / 1
LCM(92974,92985) = 8645187390 / 1
LCM(92974,92985) = 8645187390

Least Common Multiple (LCM) of 92974 and 92985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92974 and 92985. First we will calculate the prime factors of 92974 and 92985.

Prime Factorization of 92974

Prime Factorization of 92985

Now multiplying the highest exponent prime factors to calculate the LCM of 92974 and 92985.

LCM(92974,92985) = 2¹ × 7¹ × 29¹ × 229¹ × 3¹ × 5¹ × 6199¹
LCM(92974,92985) = 8645187390