What is the Least Common Multiple of 46971 and 46977?

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 46971 and 46977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46971 and 46977, than apply into the LCM equation.

GCF(46971,46977) = 3
LCM(46971,46977) = ( 46971 × 46977) / 3
LCM(46971,46977) = 2206556667 / 3
LCM(46971,46977) = 735518889

Least Common Multiple (LCM) of 46971 and 46977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46971 and 46977. First we will calculate the prime factors of 46971 and 46977.

Prime Factorization of 46971

Prime Factorization of 46977

Now multiplying the highest exponent prime factors to calculate the LCM of 46971 and 46977.

LCM(46971,46977) = 3² × 17¹ × 307¹ × 7¹ × 2237¹
LCM(46971,46977) = 735518889