What is the Least Common Multiple of 46085 and 46104?

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 46085 and 46104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46085 and 46104, than apply into the LCM equation.

GCF(46085,46104) = 1
LCM(46085,46104) = ( 46085 × 46104) / 1
LCM(46085,46104) = 2124702840 / 1
LCM(46085,46104) = 2124702840

Least Common Multiple (LCM) of 46085 and 46104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46085 and 46104. First we will calculate the prime factors of 46085 and 46104.

Prime Factorization of 46085

Prime Factorization of 46104

Now multiplying the highest exponent prime factors to calculate the LCM of 46085 and 46104.

LCM(46085,46104) = 5¹ × 13¹ × 709¹ × 2³ × 3¹ × 17¹ × 113¹
LCM(46085,46104) = 2124702840