What is the Least Common Multiple of 46332 and 46349?

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 46332 and 46349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46332 and 46349, than apply into the LCM equation.

GCF(46332,46349) = 1
LCM(46332,46349) = ( 46332 × 46349) / 1
LCM(46332,46349) = 2147441868 / 1
LCM(46332,46349) = 2147441868

Least Common Multiple (LCM) of 46332 and 46349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46332 and 46349. First we will calculate the prime factors of 46332 and 46349.

Prime Factorization of 46332

Prime Factorization of 46349

Now multiplying the highest exponent prime factors to calculate the LCM of 46332 and 46349.

LCM(46332,46349) = 2² × 3⁴ × 11¹ × 13¹ × 46349¹
LCM(46332,46349) = 2147441868