What is the Least Common Multiple of 89460 and 89474?

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 89460 and 89474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89460 and 89474, than apply into the LCM equation.

GCF(89460,89474) = 14
LCM(89460,89474) = ( 89460 × 89474) / 14
LCM(89460,89474) = 8004344040 / 14
LCM(89460,89474) = 571738860

Least Common Multiple (LCM) of 89460 and 89474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89460 and 89474. First we will calculate the prime factors of 89460 and 89474.

Prime Factorization of 89460

Prime Factorization of 89474

Now multiplying the highest exponent prime factors to calculate the LCM of 89460 and 89474.

LCM(89460,89474) = 2² × 3² × 5¹ × 7² × 71¹ × 11¹ × 83¹
LCM(89460,89474) = 571738860