What is the Least Common Multiple of 41884 and 41902?

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 41884 and 41902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41884 and 41902, than apply into the LCM equation.

GCF(41884,41902) = 2
LCM(41884,41902) = ( 41884 × 41902) / 2
LCM(41884,41902) = 1755023368 / 2
LCM(41884,41902) = 877511684

Least Common Multiple (LCM) of 41884 and 41902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41884 and 41902. First we will calculate the prime factors of 41884 and 41902.

Prime Factorization of 41884

Prime Factorization of 41902

Now multiplying the highest exponent prime factors to calculate the LCM of 41884 and 41902.

LCM(41884,41902) = 2² × 37¹ × 283¹ × 7¹ × 41¹ × 73¹
LCM(41884,41902) = 877511684