What is the Least Common Multiple of 46802 and 46808?

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 46802 and 46808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46802 and 46808, than apply into the LCM equation.

GCF(46802,46808) = 2
LCM(46802,46808) = ( 46802 × 46808) / 2
LCM(46802,46808) = 2190708016 / 2
LCM(46802,46808) = 1095354008

Least Common Multiple (LCM) of 46802 and 46808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46802 and 46808. First we will calculate the prime factors of 46802 and 46808.

Prime Factorization of 46802

Prime Factorization of 46808

Now multiplying the highest exponent prime factors to calculate the LCM of 46802 and 46808.

LCM(46802,46808) = 2³ × 7¹ × 3343¹ × 5851¹
LCM(46802,46808) = 1095354008