What is the Least Common Multiple of 46710 and 46720?

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 46720 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 46720, than apply into the LCM equation.

GCF(46710,46720) = 10
LCM(46710,46720) = ( 46710 × 46720) / 10
LCM(46710,46720) = 2182291200 / 10
LCM(46710,46720) = 218229120

Least Common Multiple (LCM) of 46710 and 46720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46710 and 46720. First we will calculate the prime factors of 46710 and 46720.

Prime Factorization of 46710

Prime Factorization of 46720

Now multiplying the highest exponent prime factors to calculate the LCM of 46710 and 46720.

LCM(46710,46720) = 2⁷ × 3³ × 5¹ × 173¹ × 73¹
LCM(46710,46720) = 218229120