What is the Least Common Multiple of 71232 and 71247?

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 71232 and 71247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71232 and 71247, than apply into the LCM equation.

GCF(71232,71247) = 3
LCM(71232,71247) = ( 71232 × 71247) / 3
LCM(71232,71247) = 5075066304 / 3
LCM(71232,71247) = 1691688768

Least Common Multiple (LCM) of 71232 and 71247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71232 and 71247. First we will calculate the prime factors of 71232 and 71247.

Prime Factorization of 71232

Prime Factorization of 71247

Now multiplying the highest exponent prime factors to calculate the LCM of 71232 and 71247.

LCM(71232,71247) = 2⁶ × 3¹ × 7¹ × 53¹ × 11¹ × 17¹ × 127¹
LCM(71232,71247) = 1691688768