What is the Least Common Multiple of 46010 and 46030?

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 46010 and 46030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46010 and 46030, than apply into the LCM equation.

GCF(46010,46030) = 10
LCM(46010,46030) = ( 46010 × 46030) / 10
LCM(46010,46030) = 2117840300 / 10
LCM(46010,46030) = 211784030

Least Common Multiple (LCM) of 46010 and 46030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46010 and 46030. First we will calculate the prime factors of 46010 and 46030.

Prime Factorization of 46010

Prime Factorization of 46030

Now multiplying the highest exponent prime factors to calculate the LCM of 46010 and 46030.

LCM(46010,46030) = 2¹ × 5¹ × 43¹ × 107¹ × 4603¹
LCM(46010,46030) = 211784030