What is the Least Common Multiple of 46290 and 46304?

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 46290 and 46304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46290 and 46304, than apply into the LCM equation.

GCF(46290,46304) = 2
LCM(46290,46304) = ( 46290 × 46304) / 2
LCM(46290,46304) = 2143412160 / 2
LCM(46290,46304) = 1071706080

Least Common Multiple (LCM) of 46290 and 46304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46290 and 46304. First we will calculate the prime factors of 46290 and 46304.

Prime Factorization of 46290

Prime Factorization of 46304

Now multiplying the highest exponent prime factors to calculate the LCM of 46290 and 46304.

LCM(46290,46304) = 2⁵ × 3¹ × 5¹ × 1543¹ × 1447¹
LCM(46290,46304) = 1071706080