What is the Least Common Multiple of 46652 and 46668?

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 46652 and 46668 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46652 and 46668, than apply into the LCM equation.

GCF(46652,46668) = 4
LCM(46652,46668) = ( 46652 × 46668) / 4
LCM(46652,46668) = 2177155536 / 4
LCM(46652,46668) = 544288884

Least Common Multiple (LCM) of 46652 and 46668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46652 and 46668. First we will calculate the prime factors of 46652 and 46668.

Prime Factorization of 46652

Prime Factorization of 46668

Now multiplying the highest exponent prime factors to calculate the LCM of 46652 and 46668.

LCM(46652,46668) = 2² × 107¹ × 109¹ × 3¹ × 3889¹
LCM(46652,46668) = 544288884