What is the Least Common Multiple of 46560 and 46566?

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 46560 and 46566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46560 and 46566, than apply into the LCM equation.

GCF(46560,46566) = 6
LCM(46560,46566) = ( 46560 × 46566) / 6
LCM(46560,46566) = 2168112960 / 6
LCM(46560,46566) = 361352160

Least Common Multiple (LCM) of 46560 and 46566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46560 and 46566. First we will calculate the prime factors of 46560 and 46566.

Prime Factorization of 46560

Prime Factorization of 46566

Now multiplying the highest exponent prime factors to calculate the LCM of 46560 and 46566.

LCM(46560,46566) = 2⁵ × 3² × 5¹ × 97¹ × 13¹ × 199¹
LCM(46560,46566) = 361352160