What is the Least Common Multiple of 46256 and 46266?

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 46256 and 46266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46256 and 46266, than apply into the LCM equation.

GCF(46256,46266) = 2
LCM(46256,46266) = ( 46256 × 46266) / 2
LCM(46256,46266) = 2140080096 / 2
LCM(46256,46266) = 1070040048

Least Common Multiple (LCM) of 46256 and 46266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46256 and 46266. First we will calculate the prime factors of 46256 and 46266.

Prime Factorization of 46256

Prime Factorization of 46266

Now multiplying the highest exponent prime factors to calculate the LCM of 46256 and 46266.

LCM(46256,46266) = 2⁴ × 7² × 59¹ × 3¹ × 11¹ × 701¹
LCM(46256,46266) = 1070040048