What is the Least Common Multiple of 46710 and 46728?

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 46710 and 46728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46710 and 46728, than apply into the LCM equation.

GCF(46710,46728) = 18
LCM(46710,46728) = ( 46710 × 46728) / 18
LCM(46710,46728) = 2182664880 / 18
LCM(46710,46728) = 121259160

Least Common Multiple (LCM) of 46710 and 46728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46710 and 46728. First we will calculate the prime factors of 46710 and 46728.

Prime Factorization of 46710

Prime Factorization of 46728

Now multiplying the highest exponent prime factors to calculate the LCM of 46710 and 46728.

LCM(46710,46728) = 2³ × 3³ × 5¹ × 173¹ × 11¹ × 59¹
LCM(46710,46728) = 121259160