What is the Least Common Multiple of 43229 and 43247?

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 43229 and 43247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43229 and 43247, than apply into the LCM equation.

GCF(43229,43247) = 1
LCM(43229,43247) = ( 43229 × 43247) / 1
LCM(43229,43247) = 1869524563 / 1
LCM(43229,43247) = 1869524563

Least Common Multiple (LCM) of 43229 and 43247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43229 and 43247. First we will calculate the prime factors of 43229 and 43247.

Prime Factorization of 43229

Prime Factorization of 43247

Now multiplying the highest exponent prime factors to calculate the LCM of 43229 and 43247.

LCM(43229,43247) = 139¹ × 311¹ × 59¹ × 733¹
LCM(43229,43247) = 1869524563