What is the Least Common Multiple of 46824 and 46830?

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 46824 and 46830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46824 and 46830, than apply into the LCM equation.

GCF(46824,46830) = 6
LCM(46824,46830) = ( 46824 × 46830) / 6
LCM(46824,46830) = 2192767920 / 6
LCM(46824,46830) = 365461320

Least Common Multiple (LCM) of 46824 and 46830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46824 and 46830. First we will calculate the prime factors of 46824 and 46830.

Prime Factorization of 46824

Prime Factorization of 46830

Now multiplying the highest exponent prime factors to calculate the LCM of 46824 and 46830.

LCM(46824,46830) = 2³ × 3¹ × 1951¹ × 5¹ × 7¹ × 223¹
LCM(46824,46830) = 365461320