What is the Least Common Multiple of 41228 and 41248?

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 41248 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 41248, than apply into the LCM equation.

GCF(41228,41248) = 4
LCM(41228,41248) = ( 41228 × 41248) / 4
LCM(41228,41248) = 1700572544 / 4
LCM(41228,41248) = 425143136

Least Common Multiple (LCM) of 41228 and 41248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41228 and 41248. First we will calculate the prime factors of 41228 and 41248.

Prime Factorization of 41228

Prime Factorization of 41248

Now multiplying the highest exponent prime factors to calculate the LCM of 41228 and 41248.

LCM(41228,41248) = 2⁵ × 11¹ × 937¹ × 1289¹
LCM(41228,41248) = 425143136