What is the Least Common Multiple of 46460 and 46470?

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 46460 and 46470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46460 and 46470, than apply into the LCM equation.

GCF(46460,46470) = 10
LCM(46460,46470) = ( 46460 × 46470) / 10
LCM(46460,46470) = 2158996200 / 10
LCM(46460,46470) = 215899620

Least Common Multiple (LCM) of 46460 and 46470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46460 and 46470. First we will calculate the prime factors of 46460 and 46470.

Prime Factorization of 46460

Prime Factorization of 46470

Now multiplying the highest exponent prime factors to calculate the LCM of 46460 and 46470.

LCM(46460,46470) = 2² × 5¹ × 23¹ × 101¹ × 3¹ × 1549¹
LCM(46460,46470) = 215899620