What is the Least Common Multiple of 71996 and 72013?

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 71996 and 72013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71996 and 72013, than apply into the LCM equation.

GCF(71996,72013) = 1
LCM(71996,72013) = ( 71996 × 72013) / 1
LCM(71996,72013) = 5184647948 / 1
LCM(71996,72013) = 5184647948

Least Common Multiple (LCM) of 71996 and 72013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71996 and 72013. First we will calculate the prime factors of 71996 and 72013.

Prime Factorization of 71996

Prime Factorization of 72013

Now multiplying the highest exponent prime factors to calculate the LCM of 71996 and 72013.

LCM(71996,72013) = 2² × 41¹ × 439¹ × 23¹ × 31¹ × 101¹
LCM(71996,72013) = 5184647948