What is the Least Common Multiple of 84976 and 84983?

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 84976 and 84983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84976 and 84983, than apply into the LCM equation.

GCF(84976,84983) = 1
LCM(84976,84983) = ( 84976 × 84983) / 1
LCM(84976,84983) = 7221515408 / 1
LCM(84976,84983) = 7221515408

Least Common Multiple (LCM) of 84976 and 84983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84976 and 84983. First we will calculate the prime factors of 84976 and 84983.

Prime Factorization of 84976

Prime Factorization of 84983

Now multiplying the highest exponent prime factors to calculate the LCM of 84976 and 84983.

LCM(84976,84983) = 2⁴ × 47¹ × 113¹ × 17¹ × 4999¹
LCM(84976,84983) = 7221515408