What is the Least Common Multiple of 41704 and 41722?

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 41704 and 41722 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41704 and 41722, than apply into the LCM equation.

GCF(41704,41722) = 2
LCM(41704,41722) = ( 41704 × 41722) / 2
LCM(41704,41722) = 1739974288 / 2
LCM(41704,41722) = 869987144

Least Common Multiple (LCM) of 41704 and 41722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41704 and 41722. First we will calculate the prime factors of 41704 and 41722.

Prime Factorization of 41704

Prime Factorization of 41722

Now multiplying the highest exponent prime factors to calculate the LCM of 41704 and 41722.

LCM(41704,41722) = 2³ × 13¹ × 401¹ × 23¹ × 907¹
LCM(41704,41722) = 869987144