What is the Least Common Multiple of 71224 and 71239?

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 71224 and 71239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71224 and 71239, than apply into the LCM equation.

GCF(71224,71239) = 1
LCM(71224,71239) = ( 71224 × 71239) / 1
LCM(71224,71239) = 5073926536 / 1
LCM(71224,71239) = 5073926536

Least Common Multiple (LCM) of 71224 and 71239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71224 and 71239. First we will calculate the prime factors of 71224 and 71239.

Prime Factorization of 71224

Prime Factorization of 71239

Now multiplying the highest exponent prime factors to calculate the LCM of 71224 and 71239.

LCM(71224,71239) = 2³ × 29¹ × 307¹ × 7¹ × 10177¹
LCM(71224,71239) = 5073926536