What is the Least Common Multiple of 46561 and 46576?

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 46561 and 46576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46561 and 46576, than apply into the LCM equation.

GCF(46561,46576) = 1
LCM(46561,46576) = ( 46561 × 46576) / 1
LCM(46561,46576) = 2168625136 / 1
LCM(46561,46576) = 2168625136

Least Common Multiple (LCM) of 46561 and 46576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46561 and 46576. First we will calculate the prime factors of 46561 and 46576.

Prime Factorization of 46561

Prime Factorization of 46576

Now multiplying the highest exponent prime factors to calculate the LCM of 46561 and 46576.

LCM(46561,46576) = 101¹ × 461¹ × 2⁴ × 41¹ × 71¹
LCM(46561,46576) = 2168625136