What is the Least Common Multiple of 46793 and 46813?

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 46793 and 46813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46793 and 46813, than apply into the LCM equation.

GCF(46793,46813) = 1
LCM(46793,46813) = ( 46793 × 46813) / 1
LCM(46793,46813) = 2190520709 / 1
LCM(46793,46813) = 2190520709

Least Common Multiple (LCM) of 46793 and 46813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46793 and 46813. First we will calculate the prime factors of 46793 and 46813.

Prime Factorization of 46793

Prime Factorization of 46813

Now multiplying the highest exponent prime factors to calculate the LCM of 46793 and 46813.

LCM(46793,46813) = 73¹ × 641¹ × 13² × 277¹
LCM(46793,46813) = 2190520709