What is the Least Common Multiple of 46152 and 46163?

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 46152 and 46163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46152 and 46163, than apply into the LCM equation.

GCF(46152,46163) = 1
LCM(46152,46163) = ( 46152 × 46163) / 1
LCM(46152,46163) = 2130514776 / 1
LCM(46152,46163) = 2130514776

Least Common Multiple (LCM) of 46152 and 46163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46152 and 46163. First we will calculate the prime factors of 46152 and 46163.

Prime Factorization of 46152

Prime Factorization of 46163

Now multiplying the highest exponent prime factors to calculate the LCM of 46152 and 46163.

LCM(46152,46163) = 2³ × 3² × 641¹ × 13¹ × 53¹ × 67¹
LCM(46152,46163) = 2130514776