What is the Least Common Multiple of 46978 and 46984?

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 46984 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 46984, than apply into the LCM equation.

GCF(46978,46984) = 2
LCM(46978,46984) = ( 46978 × 46984) / 2
LCM(46978,46984) = 2207214352 / 2
LCM(46978,46984) = 1103607176

Least Common Multiple (LCM) of 46978 and 46984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46978 and 46984. First we will calculate the prime factors of 46978 and 46984.

Prime Factorization of 46978

Prime Factorization of 46984

Now multiplying the highest exponent prime factors to calculate the LCM of 46978 and 46984.

LCM(46978,46984) = 2³ × 83¹ × 283¹ × 7¹ × 839¹
LCM(46978,46984) = 1103607176