What is the Least Common Multiple of 46872 and 46888?

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 46872 and 46888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46872 and 46888, than apply into the LCM equation.

GCF(46872,46888) = 8
LCM(46872,46888) = ( 46872 × 46888) / 8
LCM(46872,46888) = 2197734336 / 8
LCM(46872,46888) = 274716792

Least Common Multiple (LCM) of 46872 and 46888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46872 and 46888. First we will calculate the prime factors of 46872 and 46888.

Prime Factorization of 46872

Prime Factorization of 46888

Now multiplying the highest exponent prime factors to calculate the LCM of 46872 and 46888.

LCM(46872,46888) = 2³ × 3³ × 7¹ × 31¹ × 5861¹
LCM(46872,46888) = 274716792