What is the Least Common Multiple of 46728 and 46736?

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 46728 and 46736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46728 and 46736, than apply into the LCM equation.

GCF(46728,46736) = 8
LCM(46728,46736) = ( 46728 × 46736) / 8
LCM(46728,46736) = 2183879808 / 8
LCM(46728,46736) = 272984976

Least Common Multiple (LCM) of 46728 and 46736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46728 and 46736. First we will calculate the prime factors of 46728 and 46736.

Prime Factorization of 46728

Prime Factorization of 46736

Now multiplying the highest exponent prime factors to calculate the LCM of 46728 and 46736.

LCM(46728,46736) = 2⁴ × 3² × 11¹ × 59¹ × 23¹ × 127¹
LCM(46728,46736) = 272984976