What is the Least Common Multiple of 46480 and 46489?

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 46480 and 46489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46480 and 46489, than apply into the LCM equation.

GCF(46480,46489) = 1
LCM(46480,46489) = ( 46480 × 46489) / 1
LCM(46480,46489) = 2160808720 / 1
LCM(46480,46489) = 2160808720

Least Common Multiple (LCM) of 46480 and 46489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46480 and 46489. First we will calculate the prime factors of 46480 and 46489.

Prime Factorization of 46480

Prime Factorization of 46489

Now multiplying the highest exponent prime factors to calculate the LCM of 46480 and 46489.

LCM(46480,46489) = 2⁴ × 5¹ × 7¹ × 83¹ × 46489¹
LCM(46480,46489) = 2160808720