What is the Least Common Multiple of 46210 and 46215?

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 46210 and 46215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46210 and 46215, than apply into the LCM equation.

GCF(46210,46215) = 5
LCM(46210,46215) = ( 46210 × 46215) / 5
LCM(46210,46215) = 2135595150 / 5
LCM(46210,46215) = 427119030

Least Common Multiple (LCM) of 46210 and 46215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46210 and 46215. First we will calculate the prime factors of 46210 and 46215.

Prime Factorization of 46210

Prime Factorization of 46215

Now multiplying the highest exponent prime factors to calculate the LCM of 46210 and 46215.

LCM(46210,46215) = 2¹ × 5¹ × 4621¹ × 3² × 13¹ × 79¹
LCM(46210,46215) = 427119030