What is the Least Common Multiple of 46442 and 46448?

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 46442 and 46448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46442 and 46448, than apply into the LCM equation.

GCF(46442,46448) = 2
LCM(46442,46448) = ( 46442 × 46448) / 2
LCM(46442,46448) = 2157138016 / 2
LCM(46442,46448) = 1078569008

Least Common Multiple (LCM) of 46442 and 46448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46442 and 46448. First we will calculate the prime factors of 46442 and 46448.

Prime Factorization of 46442

Prime Factorization of 46448

Now multiplying the highest exponent prime factors to calculate the LCM of 46442 and 46448.

LCM(46442,46448) = 2⁴ × 11¹ × 2111¹ × 2903¹
LCM(46442,46448) = 1078569008