What is the Least Common Multiple of 66229 and 66247?

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 66229 and 66247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66229 and 66247, than apply into the LCM equation.

GCF(66229,66247) = 1
LCM(66229,66247) = ( 66229 × 66247) / 1
LCM(66229,66247) = 4387472563 / 1
LCM(66229,66247) = 4387472563

Least Common Multiple (LCM) of 66229 and 66247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66229 and 66247. First we will calculate the prime factors of 66229 and 66247.

Prime Factorization of 66229

Prime Factorization of 66247

Now multiplying the highest exponent prime factors to calculate the LCM of 66229 and 66247.

LCM(66229,66247) = 103¹ × 643¹ × 31¹ × 2137¹
LCM(66229,66247) = 4387472563