What is the Least Common Multiple of 41248 and 41262?

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 41248 and 41262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41248 and 41262, than apply into the LCM equation.

GCF(41248,41262) = 2
LCM(41248,41262) = ( 41248 × 41262) / 2
LCM(41248,41262) = 1701974976 / 2
LCM(41248,41262) = 850987488

Least Common Multiple (LCM) of 41248 and 41262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41248 and 41262. First we will calculate the prime factors of 41248 and 41262.

Prime Factorization of 41248

Prime Factorization of 41262

Now multiplying the highest exponent prime factors to calculate the LCM of 41248 and 41262.

LCM(41248,41262) = 2⁵ × 1289¹ × 3¹ × 13¹ × 23²
LCM(41248,41262) = 850987488