What is the Least Common Multiple of 46964 and 46982?

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 46964 and 46982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46964 and 46982, than apply into the LCM equation.

GCF(46964,46982) = 2
LCM(46964,46982) = ( 46964 × 46982) / 2
LCM(46964,46982) = 2206462648 / 2
LCM(46964,46982) = 1103231324

Least Common Multiple (LCM) of 46964 and 46982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46964 and 46982. First we will calculate the prime factors of 46964 and 46982.

Prime Factorization of 46964

Prime Factorization of 46982

Now multiplying the highest exponent prime factors to calculate the LCM of 46964 and 46982.

LCM(46964,46982) = 2² × 59¹ × 199¹ × 13² × 139¹
LCM(46964,46982) = 1103231324