What is the Least Common Multiple of 46145 and 46157?

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 46145 and 46157 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46145 and 46157, than apply into the LCM equation.

GCF(46145,46157) = 1
LCM(46145,46157) = ( 46145 × 46157) / 1
LCM(46145,46157) = 2129914765 / 1
LCM(46145,46157) = 2129914765

Least Common Multiple (LCM) of 46145 and 46157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46145 and 46157. First we will calculate the prime factors of 46145 and 46157.

Prime Factorization of 46145

Prime Factorization of 46157

Now multiplying the highest exponent prime factors to calculate the LCM of 46145 and 46157.

LCM(46145,46157) = 5¹ × 11¹ × 839¹ × 101¹ × 457¹
LCM(46145,46157) = 2129914765