GCF and LCM Calculator Logo

What is the Least Common Multiple of 46185 and 46203?

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 (LCM) of 46185 and 46203 is 711295185.

LCM(46185,46203) = 711295185

LCM Calculator and
and

Least Common Multiple of 46185 and 46203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46185 and 46203, than apply into the LCM equation.

GCF(46185,46203) = 3
LCM(46185,46203) = ( 46185 × 46203) / 3
LCM(46185,46203) = 2133885555 / 3
LCM(46185,46203) = 711295185

Least Common Multiple (LCM) of 46185 and 46203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46185 and 46203. First we will calculate the prime factors of 46185 and 46203.

Prime Factorization of 46185

Prime factors of 46185 are 3, 5, 3079. Prime factorization of 46185 in exponential form is:

46185 = 31 × 51 × 30791

Prime Factorization of 46203

Prime factors of 46203 are 3, 15401. Prime factorization of 46203 in exponential form is:

46203 = 31 × 154011

Now multiplying the highest exponent prime factors to calculate the LCM of 46185 and 46203.

LCM(46185,46203) = 31 × 51 × 30791 × 154011
LCM(46185,46203) = 711295185