What is the Least Common Multiple of 46830 and 46848?

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 46830 and 46848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46830 and 46848, than apply into the LCM equation.

GCF(46830,46848) = 6
LCM(46830,46848) = ( 46830 × 46848) / 6
LCM(46830,46848) = 2193891840 / 6
LCM(46830,46848) = 365648640

Least Common Multiple (LCM) of 46830 and 46848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46830 and 46848. First we will calculate the prime factors of 46830 and 46848.

Prime Factorization of 46830

Prime Factorization of 46848

Now multiplying the highest exponent prime factors to calculate the LCM of 46830 and 46848.

LCM(46830,46848) = 2⁸ × 3¹ × 5¹ × 7¹ × 223¹ × 61¹
LCM(46830,46848) = 365648640