What is the Least Common Multiple of 69982 and 70001?

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 69982 and 70001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69982 and 70001, than apply into the LCM equation.

GCF(69982,70001) = 1
LCM(69982,70001) = ( 69982 × 70001) / 1
LCM(69982,70001) = 4898809982 / 1
LCM(69982,70001) = 4898809982

Least Common Multiple (LCM) of 69982 and 70001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69982 and 70001. First we will calculate the prime factors of 69982 and 70001.

Prime Factorization of 69982

Prime Factorization of 70001

Now multiplying the highest exponent prime factors to calculate the LCM of 69982 and 70001.

LCM(69982,70001) = 2¹ × 11¹ × 3181¹ × 70001¹
LCM(69982,70001) = 4898809982