What is the Least Common Multiple of 46208 and 46216?

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 46208 and 46216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46208 and 46216, than apply into the LCM equation.

GCF(46208,46216) = 8
LCM(46208,46216) = ( 46208 × 46216) / 8
LCM(46208,46216) = 2135548928 / 8
LCM(46208,46216) = 266943616

Least Common Multiple (LCM) of 46208 and 46216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46208 and 46216. First we will calculate the prime factors of 46208 and 46216.

Prime Factorization of 46208

Prime Factorization of 46216

Now multiplying the highest exponent prime factors to calculate the LCM of 46208 and 46216.

LCM(46208,46216) = 2⁷ × 19² × 53¹ × 109¹
LCM(46208,46216) = 266943616