What is the Least Common Multiple of 46960 and 46976?

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 46960 and 46976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46960 and 46976, than apply into the LCM equation.

GCF(46960,46976) = 16
LCM(46960,46976) = ( 46960 × 46976) / 16
LCM(46960,46976) = 2205992960 / 16
LCM(46960,46976) = 137874560

Least Common Multiple (LCM) of 46960 and 46976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46960 and 46976. First we will calculate the prime factors of 46960 and 46976.

Prime Factorization of 46960

Prime Factorization of 46976

Now multiplying the highest exponent prime factors to calculate the LCM of 46960 and 46976.

LCM(46960,46976) = 2⁷ × 5¹ × 587¹ × 367¹
LCM(46960,46976) = 137874560