What is the Least Common Multiple of 71208 and 71224?

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 71208 and 71224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71208 and 71224, than apply into the LCM equation.

GCF(71208,71224) = 8
LCM(71208,71224) = ( 71208 × 71224) / 8
LCM(71208,71224) = 5071718592 / 8
LCM(71208,71224) = 633964824

Least Common Multiple (LCM) of 71208 and 71224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71208 and 71224. First we will calculate the prime factors of 71208 and 71224.

Prime Factorization of 71208

Prime Factorization of 71224

Now multiplying the highest exponent prime factors to calculate the LCM of 71208 and 71224.

LCM(71208,71224) = 2³ × 3² × 23¹ × 43¹ × 29¹ × 307¹
LCM(71208,71224) = 633964824