What is the Least Common Multiple of 46938 and 46944?

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 46938 and 46944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46938 and 46944, than apply into the LCM equation.

GCF(46938,46944) = 6
LCM(46938,46944) = ( 46938 × 46944) / 6
LCM(46938,46944) = 2203457472 / 6
LCM(46938,46944) = 367242912

Least Common Multiple (LCM) of 46938 and 46944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46938 and 46944. First we will calculate the prime factors of 46938 and 46944.

Prime Factorization of 46938

Prime Factorization of 46944

Now multiplying the highest exponent prime factors to calculate the LCM of 46938 and 46944.

LCM(46938,46944) = 2⁵ × 3² × 7823¹ × 163¹
LCM(46938,46944) = 367242912