What is the Least Common Multiple of 46710 and 46730?

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 46730 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 46730, than apply into the LCM equation.

GCF(46710,46730) = 10
LCM(46710,46730) = ( 46710 × 46730) / 10
LCM(46710,46730) = 2182758300 / 10
LCM(46710,46730) = 218275830

Least Common Multiple (LCM) of 46710 and 46730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46710 and 46730. First we will calculate the prime factors of 46710 and 46730.

Prime Factorization of 46710

Prime Factorization of 46730

Now multiplying the highest exponent prime factors to calculate the LCM of 46710 and 46730.

LCM(46710,46730) = 2¹ × 3³ × 5¹ × 173¹ × 4673¹
LCM(46710,46730) = 218275830