What is the Least Common Multiple of 46546 and 46562?

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 46546 and 46562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46546 and 46562, than apply into the LCM equation.

GCF(46546,46562) = 2
LCM(46546,46562) = ( 46546 × 46562) / 2
LCM(46546,46562) = 2167274852 / 2
LCM(46546,46562) = 1083637426

Least Common Multiple (LCM) of 46546 and 46562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46546 and 46562. First we will calculate the prime factors of 46546 and 46562.

Prime Factorization of 46546

Prime Factorization of 46562

Now multiplying the highest exponent prime factors to calculate the LCM of 46546 and 46562.

LCM(46546,46562) = 2¹ × 17¹ × 37² × 31¹ × 751¹
LCM(46546,46562) = 1083637426