What is the Least Common Multiple of 41888 and 41900?

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 41888 and 41900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41888 and 41900, than apply into the LCM equation.

GCF(41888,41900) = 4
LCM(41888,41900) = ( 41888 × 41900) / 4
LCM(41888,41900) = 1755107200 / 4
LCM(41888,41900) = 438776800

Least Common Multiple (LCM) of 41888 and 41900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41888 and 41900. First we will calculate the prime factors of 41888 and 41900.

Prime Factorization of 41888

Prime Factorization of 41900

Now multiplying the highest exponent prime factors to calculate the LCM of 41888 and 41900.

LCM(41888,41900) = 2⁵ × 7¹ × 11¹ × 17¹ × 5² × 419¹
LCM(41888,41900) = 438776800