What is the Least Common Multiple of 71088 and 71096?

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 71088 and 71096 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71088 and 71096, than apply into the LCM equation.

GCF(71088,71096) = 8
LCM(71088,71096) = ( 71088 × 71096) / 8
LCM(71088,71096) = 5054072448 / 8
LCM(71088,71096) = 631759056

Least Common Multiple (LCM) of 71088 and 71096 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71088 and 71096. First we will calculate the prime factors of 71088 and 71096.

Prime Factorization of 71088

Prime Factorization of 71096

Now multiplying the highest exponent prime factors to calculate the LCM of 71088 and 71096.

LCM(71088,71096) = 2⁴ × 3¹ × 1481¹ × 8887¹
LCM(71088,71096) = 631759056