What is the Least Common Multiple of 46846 and 46853?

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 46846 and 46853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46846 and 46853, than apply into the LCM equation.

GCF(46846,46853) = 1
LCM(46846,46853) = ( 46846 × 46853) / 1
LCM(46846,46853) = 2194875638 / 1
LCM(46846,46853) = 2194875638

Least Common Multiple (LCM) of 46846 and 46853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46846 and 46853. First we will calculate the prime factors of 46846 and 46853.

Prime Factorization of 46846

Prime Factorization of 46853

Now multiplying the highest exponent prime factors to calculate the LCM of 46846 and 46853.

LCM(46846,46853) = 2¹ × 59¹ × 397¹ × 46853¹
LCM(46846,46853) = 2194875638