What is the Least Common Multiple of 46315 and 46334?

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 46315 and 46334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46315 and 46334, than apply into the LCM equation.

GCF(46315,46334) = 1
LCM(46315,46334) = ( 46315 × 46334) / 1
LCM(46315,46334) = 2145959210 / 1
LCM(46315,46334) = 2145959210

Least Common Multiple (LCM) of 46315 and 46334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46315 and 46334. First we will calculate the prime factors of 46315 and 46334.

Prime Factorization of 46315

Prime Factorization of 46334

Now multiplying the highest exponent prime factors to calculate the LCM of 46315 and 46334.

LCM(46315,46334) = 5¹ × 59¹ × 157¹ × 2¹ × 23167¹
LCM(46315,46334) = 2145959210