What is the Least Common Multiple of 46626 and 46636?

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 46626 and 46636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46626 and 46636, than apply into the LCM equation.

GCF(46626,46636) = 2
LCM(46626,46636) = ( 46626 × 46636) / 2
LCM(46626,46636) = 2174450136 / 2
LCM(46626,46636) = 1087225068

Least Common Multiple (LCM) of 46626 and 46636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46626 and 46636. First we will calculate the prime factors of 46626 and 46636.

Prime Factorization of 46626

Prime Factorization of 46636

Now multiplying the highest exponent prime factors to calculate the LCM of 46626 and 46636.

LCM(46626,46636) = 2² × 3¹ × 19¹ × 409¹ × 89¹ × 131¹
LCM(46626,46636) = 1087225068