What is the Least Common Multiple of 46944 and 46964?

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 46944 and 46964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46944 and 46964, than apply into the LCM equation.

GCF(46944,46964) = 4
LCM(46944,46964) = ( 46944 × 46964) / 4
LCM(46944,46964) = 2204678016 / 4
LCM(46944,46964) = 551169504

Least Common Multiple (LCM) of 46944 and 46964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46944 and 46964. First we will calculate the prime factors of 46944 and 46964.

Prime Factorization of 46944

Prime Factorization of 46964

Now multiplying the highest exponent prime factors to calculate the LCM of 46944 and 46964.

LCM(46944,46964) = 2⁵ × 3² × 163¹ × 59¹ × 199¹
LCM(46944,46964) = 551169504