What is the Least Common Multiple of 46377 and 46384?

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 46377 and 46384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46377 and 46384, than apply into the LCM equation.

GCF(46377,46384) = 1
LCM(46377,46384) = ( 46377 × 46384) / 1
LCM(46377,46384) = 2151150768 / 1
LCM(46377,46384) = 2151150768

Least Common Multiple (LCM) of 46377 and 46384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46377 and 46384. First we will calculate the prime factors of 46377 and 46384.

Prime Factorization of 46377

Prime Factorization of 46384

Now multiplying the highest exponent prime factors to calculate the LCM of 46377 and 46384.

LCM(46377,46384) = 3² × 5153¹ × 2⁴ × 13¹ × 223¹
LCM(46377,46384) = 2151150768