What is the Least Common Multiple of 46896 and 46900?

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 46896 and 46900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46896 and 46900, than apply into the LCM equation.

GCF(46896,46900) = 4
LCM(46896,46900) = ( 46896 × 46900) / 4
LCM(46896,46900) = 2199422400 / 4
LCM(46896,46900) = 549855600

Least Common Multiple (LCM) of 46896 and 46900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46896 and 46900. First we will calculate the prime factors of 46896 and 46900.

Prime Factorization of 46896

Prime Factorization of 46900

Now multiplying the highest exponent prime factors to calculate the LCM of 46896 and 46900.

LCM(46896,46900) = 2⁴ × 3¹ × 977¹ × 5² × 7¹ × 67¹
LCM(46896,46900) = 549855600