What is the Least Common Multiple of 46954 and 46960?

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 46954 and 46960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46954 and 46960, than apply into the LCM equation.

GCF(46954,46960) = 2
LCM(46954,46960) = ( 46954 × 46960) / 2
LCM(46954,46960) = 2204959840 / 2
LCM(46954,46960) = 1102479920

Least Common Multiple (LCM) of 46954 and 46960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46954 and 46960. First we will calculate the prime factors of 46954 and 46960.

Prime Factorization of 46954

Prime Factorization of 46960

Now multiplying the highest exponent prime factors to calculate the LCM of 46954 and 46960.

LCM(46954,46960) = 2⁴ × 17¹ × 1381¹ × 5¹ × 587¹
LCM(46954,46960) = 1102479920