What is the Least Common Multiple of 46700 and 46710?

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 46700 and 46710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46700 and 46710, than apply into the LCM equation.

GCF(46700,46710) = 10
LCM(46700,46710) = ( 46700 × 46710) / 10
LCM(46700,46710) = 2181357000 / 10
LCM(46700,46710) = 218135700

Least Common Multiple (LCM) of 46700 and 46710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46700 and 46710. First we will calculate the prime factors of 46700 and 46710.

Prime Factorization of 46700

Prime Factorization of 46710

Now multiplying the highest exponent prime factors to calculate the LCM of 46700 and 46710.

LCM(46700,46710) = 2² × 5² × 467¹ × 3³ × 173¹
LCM(46700,46710) = 218135700