What is the Least Common Multiple of 69996 and 70004?

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 69996 and 70004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69996 and 70004, than apply into the LCM equation.

GCF(69996,70004) = 4
LCM(69996,70004) = ( 69996 × 70004) / 4
LCM(69996,70004) = 4899999984 / 4
LCM(69996,70004) = 1224999996

Least Common Multiple (LCM) of 69996 and 70004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69996 and 70004. First we will calculate the prime factors of 69996 and 70004.

Prime Factorization of 69996

Prime Factorization of 70004

Now multiplying the highest exponent prime factors to calculate the LCM of 69996 and 70004.

LCM(69996,70004) = 2² × 3¹ × 19¹ × 307¹ × 11¹ × 37¹ × 43¹
LCM(69996,70004) = 1224999996