What is the Least Common Multiple of 46744 and 46760?

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 46744 and 46760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46744 and 46760, than apply into the LCM equation.

GCF(46744,46760) = 8
LCM(46744,46760) = ( 46744 × 46760) / 8
LCM(46744,46760) = 2185749440 / 8
LCM(46744,46760) = 273218680

Least Common Multiple (LCM) of 46744 and 46760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46744 and 46760. First we will calculate the prime factors of 46744 and 46760.

Prime Factorization of 46744

Prime Factorization of 46760

Now multiplying the highest exponent prime factors to calculate the LCM of 46744 and 46760.

LCM(46744,46760) = 2³ × 5843¹ × 5¹ × 7¹ × 167¹
LCM(46744,46760) = 273218680