What is the Least Common Multiple of 46988 and 47008?

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 46988 and 47008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46988 and 47008, than apply into the LCM equation.

GCF(46988,47008) = 4
LCM(46988,47008) = ( 46988 × 47008) / 4
LCM(46988,47008) = 2208811904 / 4
LCM(46988,47008) = 552202976

Least Common Multiple (LCM) of 46988 and 47008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46988 and 47008. First we will calculate the prime factors of 46988 and 47008.

Prime Factorization of 46988

Prime Factorization of 47008

Now multiplying the highest exponent prime factors to calculate the LCM of 46988 and 47008.

LCM(46988,47008) = 2⁵ × 17¹ × 691¹ × 13¹ × 113¹
LCM(46988,47008) = 552202976