What is the Least Common Multiple of 46956 and 46974?

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 46956 and 46974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46956 and 46974, than apply into the LCM equation.

GCF(46956,46974) = 6
LCM(46956,46974) = ( 46956 × 46974) / 6
LCM(46956,46974) = 2205711144 / 6
LCM(46956,46974) = 367618524

Least Common Multiple (LCM) of 46956 and 46974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46956 and 46974. First we will calculate the prime factors of 46956 and 46974.

Prime Factorization of 46956

Prime Factorization of 46974

Now multiplying the highest exponent prime factors to calculate the LCM of 46956 and 46974.

LCM(46956,46974) = 2² × 3¹ × 7¹ × 13¹ × 43¹ × 7829¹
LCM(46956,46974) = 367618524