What is the Least Common Multiple of 96974 and 96985?

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 96974 and 96985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96974 and 96985, than apply into the LCM equation.

GCF(96974,96985) = 1
LCM(96974,96985) = ( 96974 × 96985) / 1
LCM(96974,96985) = 9405023390 / 1
LCM(96974,96985) = 9405023390

Least Common Multiple (LCM) of 96974 and 96985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96974 and 96985. First we will calculate the prime factors of 96974 and 96985.

Prime Factorization of 96974

Prime Factorization of 96985

Now multiplying the highest exponent prime factors to calculate the LCM of 96974 and 96985.

LCM(96974,96985) = 2¹ × 48487¹ × 5¹ × 7¹ × 17¹ × 163¹
LCM(96974,96985) = 9405023390