What is the Least Common Multiple of 41232 and 41249?

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 41232 and 41249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41232 and 41249, than apply into the LCM equation.

GCF(41232,41249) = 1
LCM(41232,41249) = ( 41232 × 41249) / 1
LCM(41232,41249) = 1700778768 / 1
LCM(41232,41249) = 1700778768

Least Common Multiple (LCM) of 41232 and 41249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41232 and 41249. First we will calculate the prime factors of 41232 and 41249.

Prime Factorization of 41232

Prime Factorization of 41249

Now multiplying the highest exponent prime factors to calculate the LCM of 41232 and 41249.

LCM(41232,41249) = 2⁴ × 3¹ × 859¹ × 13¹ × 19¹ × 167¹
LCM(41232,41249) = 1700778768