What is the Least Common Multiple of 46098 and 46107?

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 46098 and 46107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46098 and 46107, than apply into the LCM equation.

GCF(46098,46107) = 9
LCM(46098,46107) = ( 46098 × 46107) / 9
LCM(46098,46107) = 2125440486 / 9
LCM(46098,46107) = 236160054

Least Common Multiple (LCM) of 46098 and 46107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46098 and 46107. First we will calculate the prime factors of 46098 and 46107.

Prime Factorization of 46098

Prime Factorization of 46107

Now multiplying the highest exponent prime factors to calculate the LCM of 46098 and 46107.

LCM(46098,46107) = 2¹ × 3² × 13¹ × 197¹ × 47¹ × 109¹
LCM(46098,46107) = 236160054