What is the Least Common Multiple of 41600 and 41614?

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 41600 and 41614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41600 and 41614, than apply into the LCM equation.

GCF(41600,41614) = 2
LCM(41600,41614) = ( 41600 × 41614) / 2
LCM(41600,41614) = 1731142400 / 2
LCM(41600,41614) = 865571200

Least Common Multiple (LCM) of 41600 and 41614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41600 and 41614. First we will calculate the prime factors of 41600 and 41614.

Prime Factorization of 41600

Prime Factorization of 41614

Now multiplying the highest exponent prime factors to calculate the LCM of 41600 and 41614.

LCM(41600,41614) = 2⁷ × 5² × 13¹ × 20807¹
LCM(41600,41614) = 865571200