What is the Least Common Multiple of 70996 and 71012?

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 70996 and 71012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70996 and 71012, than apply into the LCM equation.

GCF(70996,71012) = 4
LCM(70996,71012) = ( 70996 × 71012) / 4
LCM(70996,71012) = 5041567952 / 4
LCM(70996,71012) = 1260391988

Least Common Multiple (LCM) of 70996 and 71012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70996 and 71012. First we will calculate the prime factors of 70996 and 71012.

Prime Factorization of 70996

Prime Factorization of 71012

Now multiplying the highest exponent prime factors to calculate the LCM of 70996 and 71012.

LCM(70996,71012) = 2² × 17749¹ × 41¹ × 433¹
LCM(70996,71012) = 1260391988