What is the Least Common Multiple of 46628 and 46637?

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 46628 and 46637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46628 and 46637, than apply into the LCM equation.

GCF(46628,46637) = 1
LCM(46628,46637) = ( 46628 × 46637) / 1
LCM(46628,46637) = 2174590036 / 1
LCM(46628,46637) = 2174590036

Least Common Multiple (LCM) of 46628 and 46637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46628 and 46637. First we will calculate the prime factors of 46628 and 46637.

Prime Factorization of 46628

Prime Factorization of 46637

Now multiplying the highest exponent prime factors to calculate the LCM of 46628 and 46637.

LCM(46628,46637) = 2² × 11657¹ × 149¹ × 313¹
LCM(46628,46637) = 2174590036