What is the Least Common Multiple of 46076 and 46086?

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 46076 and 46086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46076 and 46086, than apply into the LCM equation.

GCF(46076,46086) = 2
LCM(46076,46086) = ( 46076 × 46086) / 2
LCM(46076,46086) = 2123458536 / 2
LCM(46076,46086) = 1061729268

Least Common Multiple (LCM) of 46076 and 46086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46076 and 46086. First we will calculate the prime factors of 46076 and 46086.

Prime Factorization of 46076

Prime Factorization of 46086

Now multiplying the highest exponent prime factors to calculate the LCM of 46076 and 46086.

LCM(46076,46086) = 2² × 11519¹ × 3¹ × 7681¹
LCM(46076,46086) = 1061729268