What is the Least Common Multiple of 41228 and 41246?

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 41228 and 41246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41228 and 41246, than apply into the LCM equation.

GCF(41228,41246) = 2
LCM(41228,41246) = ( 41228 × 41246) / 2
LCM(41228,41246) = 1700490088 / 2
LCM(41228,41246) = 850245044

Least Common Multiple (LCM) of 41228 and 41246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41228 and 41246. First we will calculate the prime factors of 41228 and 41246.

Prime Factorization of 41228

Prime Factorization of 41246

Now multiplying the highest exponent prime factors to calculate the LCM of 41228 and 41246.

LCM(41228,41246) = 2² × 11¹ × 937¹ × 41¹ × 503¹
LCM(41228,41246) = 850245044