What is the Least Common Multiple of 46998 and 47017?

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 46998 and 47017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46998 and 47017, than apply into the LCM equation.

GCF(46998,47017) = 1
LCM(46998,47017) = ( 46998 × 47017) / 1
LCM(46998,47017) = 2209704966 / 1
LCM(46998,47017) = 2209704966

Least Common Multiple (LCM) of 46998 and 47017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46998 and 47017. First we will calculate the prime factors of 46998 and 47017.

Prime Factorization of 46998

Prime Factorization of 47017

Now multiplying the highest exponent prime factors to calculate the LCM of 46998 and 47017.

LCM(46998,47017) = 2¹ × 3² × 7¹ × 373¹ × 47017¹
LCM(46998,47017) = 2209704966