What is the Least Common Multiple of 46978 and 46988?

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 46978 and 46988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46978 and 46988, than apply into the LCM equation.

GCF(46978,46988) = 2
LCM(46978,46988) = ( 46978 × 46988) / 2
LCM(46978,46988) = 2207402264 / 2
LCM(46978,46988) = 1103701132

Least Common Multiple (LCM) of 46978 and 46988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46978 and 46988. First we will calculate the prime factors of 46978 and 46988.

Prime Factorization of 46978

Prime Factorization of 46988

Now multiplying the highest exponent prime factors to calculate the LCM of 46978 and 46988.

LCM(46978,46988) = 2² × 83¹ × 283¹ × 17¹ × 691¹
LCM(46978,46988) = 1103701132