What is the Least Common Multiple of 46446 and 46452?

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 46446 and 46452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46446 and 46452, than apply into the LCM equation.

GCF(46446,46452) = 6
LCM(46446,46452) = ( 46446 × 46452) / 6
LCM(46446,46452) = 2157509592 / 6
LCM(46446,46452) = 359584932

Least Common Multiple (LCM) of 46446 and 46452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46446 and 46452. First we will calculate the prime factors of 46446 and 46452.

Prime Factorization of 46446

Prime Factorization of 46452

Now multiplying the highest exponent prime factors to calculate the LCM of 46446 and 46452.

LCM(46446,46452) = 2² × 3¹ × 7741¹ × 7² × 79¹
LCM(46446,46452) = 359584932