What is the Least Common Multiple of 69996 and 70016?

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 70016 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 70016, than apply into the LCM equation.

GCF(69996,70016) = 4
LCM(69996,70016) = ( 69996 × 70016) / 4
LCM(69996,70016) = 4900839936 / 4
LCM(69996,70016) = 1225209984

Least Common Multiple (LCM) of 69996 and 70016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69996 and 70016. First we will calculate the prime factors of 69996 and 70016.

Prime Factorization of 69996

Prime Factorization of 70016

Now multiplying the highest exponent prime factors to calculate the LCM of 69996 and 70016.

LCM(69996,70016) = 2⁷ × 3¹ × 19¹ × 307¹ × 547¹
LCM(69996,70016) = 1225209984