What is the Least Common Multiple of 46344 and 46352?

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 46344 and 46352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46344 and 46352, than apply into the LCM equation.

GCF(46344,46352) = 8
LCM(46344,46352) = ( 46344 × 46352) / 8
LCM(46344,46352) = 2148137088 / 8
LCM(46344,46352) = 268517136

Least Common Multiple (LCM) of 46344 and 46352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46344 and 46352. First we will calculate the prime factors of 46344 and 46352.

Prime Factorization of 46344

Prime Factorization of 46352

Now multiplying the highest exponent prime factors to calculate the LCM of 46344 and 46352.

LCM(46344,46352) = 2⁴ × 3¹ × 1931¹ × 2897¹
LCM(46344,46352) = 268517136