What is the Least Common Multiple of 46192 and 46196?

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 46192 and 46196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46192 and 46196, than apply into the LCM equation.

GCF(46192,46196) = 4
LCM(46192,46196) = ( 46192 × 46196) / 4
LCM(46192,46196) = 2133885632 / 4
LCM(46192,46196) = 533471408

Least Common Multiple (LCM) of 46192 and 46196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46192 and 46196. First we will calculate the prime factors of 46192 and 46196.

Prime Factorization of 46192

Prime Factorization of 46196

Now multiplying the highest exponent prime factors to calculate the LCM of 46192 and 46196.

LCM(46192,46196) = 2⁴ × 2887¹ × 11549¹
LCM(46192,46196) = 533471408