What is the Least Common Multiple of 46742 and 46748?

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 46742 and 46748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46742 and 46748, than apply into the LCM equation.

GCF(46742,46748) = 2
LCM(46742,46748) = ( 46742 × 46748) / 2
LCM(46742,46748) = 2185095016 / 2
LCM(46742,46748) = 1092547508

Least Common Multiple (LCM) of 46742 and 46748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46742 and 46748. First we will calculate the prime factors of 46742 and 46748.

Prime Factorization of 46742

Prime Factorization of 46748

Now multiplying the highest exponent prime factors to calculate the LCM of 46742 and 46748.

LCM(46742,46748) = 2² × 23371¹ × 13¹ × 29¹ × 31¹
LCM(46742,46748) = 1092547508