What is the Least Common Multiple of 46190 and 46210?

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 46190 and 46210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46190 and 46210, than apply into the LCM equation.

GCF(46190,46210) = 10
LCM(46190,46210) = ( 46190 × 46210) / 10
LCM(46190,46210) = 2134439900 / 10
LCM(46190,46210) = 213443990

Least Common Multiple (LCM) of 46190 and 46210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46190 and 46210. First we will calculate the prime factors of 46190 and 46210.

Prime Factorization of 46190

Prime Factorization of 46210

Now multiplying the highest exponent prime factors to calculate the LCM of 46190 and 46210.

LCM(46190,46210) = 2¹ × 5¹ × 31¹ × 149¹ × 4621¹
LCM(46190,46210) = 213443990