What is the Least Common Multiple of 41964 and 41984?

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 41964 and 41984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41964 and 41984, than apply into the LCM equation.

GCF(41964,41984) = 4
LCM(41964,41984) = ( 41964 × 41984) / 4
LCM(41964,41984) = 1761816576 / 4
LCM(41964,41984) = 440454144

Least Common Multiple (LCM) of 41964 and 41984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41964 and 41984. First we will calculate the prime factors of 41964 and 41984.

Prime Factorization of 41964

Prime Factorization of 41984

Now multiplying the highest exponent prime factors to calculate the LCM of 41964 and 41984.

LCM(41964,41984) = 2¹⁰ × 3¹ × 13¹ × 269¹ × 41¹
LCM(41964,41984) = 440454144