What is the Least Common Multiple of 70986 and 71004?

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 70986 and 71004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70986 and 71004, than apply into the LCM equation.

GCF(70986,71004) = 6
LCM(70986,71004) = ( 70986 × 71004) / 6
LCM(70986,71004) = 5040289944 / 6
LCM(70986,71004) = 840048324

Least Common Multiple (LCM) of 70986 and 71004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70986 and 71004. First we will calculate the prime factors of 70986 and 71004.

Prime Factorization of 70986

Prime Factorization of 71004

Now multiplying the highest exponent prime factors to calculate the LCM of 70986 and 71004.

LCM(70986,71004) = 2² × 3¹ × 11831¹ × 61¹ × 97¹
LCM(70986,71004) = 840048324