What is the Least Common Multiple of 46098 and 46118?

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 46118 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 46118, than apply into the LCM equation.

GCF(46098,46118) = 2
LCM(46098,46118) = ( 46098 × 46118) / 2
LCM(46098,46118) = 2125947564 / 2
LCM(46098,46118) = 1062973782

Least Common Multiple (LCM) of 46098 and 46118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46098 and 46118. First we will calculate the prime factors of 46098 and 46118.

Prime Factorization of 46098

Prime Factorization of 46118

Now multiplying the highest exponent prime factors to calculate the LCM of 46098 and 46118.

LCM(46098,46118) = 2¹ × 3² × 13¹ × 197¹ × 23059¹
LCM(46098,46118) = 1062973782