What is the Least Common Multiple of 46546 and 46556?

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 46556 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 46556, than apply into the LCM equation.

GCF(46546,46556) = 2
LCM(46546,46556) = ( 46546 × 46556) / 2
LCM(46546,46556) = 2166995576 / 2
LCM(46546,46556) = 1083497788

Least Common Multiple (LCM) of 46546 and 46556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46546 and 46556. First we will calculate the prime factors of 46546 and 46556.

Prime Factorization of 46546

Prime Factorization of 46556

Now multiplying the highest exponent prime factors to calculate the LCM of 46546 and 46556.

LCM(46546,46556) = 2² × 17¹ × 37² × 103¹ × 113¹
LCM(46546,46556) = 1083497788