What is the Least Common Multiple of 84959 and 84976?

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 84959 and 84976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84959 and 84976, than apply into the LCM equation.

GCF(84959,84976) = 1
LCM(84959,84976) = ( 84959 × 84976) / 1
LCM(84959,84976) = 7219475984 / 1
LCM(84959,84976) = 7219475984

Least Common Multiple (LCM) of 84959 and 84976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84959 and 84976. First we will calculate the prime factors of 84959 and 84976.

Prime Factorization of 84959

Prime Factorization of 84976

Now multiplying the highest exponent prime factors to calculate the LCM of 84959 and 84976.

LCM(84959,84976) = 7¹ × 53¹ × 229¹ × 2⁴ × 47¹ × 113¹
LCM(84959,84976) = 7219475984