What is the Least Common Multiple of 71988 and 71996?

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 71988 and 71996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71988 and 71996, than apply into the LCM equation.

GCF(71988,71996) = 4
LCM(71988,71996) = ( 71988 × 71996) / 4
LCM(71988,71996) = 5182848048 / 4
LCM(71988,71996) = 1295712012

Least Common Multiple (LCM) of 71988 and 71996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71988 and 71996. First we will calculate the prime factors of 71988 and 71996.

Prime Factorization of 71988

Prime Factorization of 71996

Now multiplying the highest exponent prime factors to calculate the LCM of 71988 and 71996.

LCM(71988,71996) = 2² × 3¹ × 7¹ × 857¹ × 41¹ × 439¹
LCM(71988,71996) = 1295712012