What is the Least Common Multiple of 90846 and 90860?

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 90846 and 90860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90846 and 90860, than apply into the LCM equation.

GCF(90846,90860) = 14
LCM(90846,90860) = ( 90846 × 90860) / 14
LCM(90846,90860) = 8254267560 / 14
LCM(90846,90860) = 589590540

Least Common Multiple (LCM) of 90846 and 90860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90846 and 90860. First we will calculate the prime factors of 90846 and 90860.

Prime Factorization of 90846

Prime Factorization of 90860

Now multiplying the highest exponent prime factors to calculate the LCM of 90846 and 90860.

LCM(90846,90860) = 2² × 3² × 7² × 103¹ × 5¹ × 11¹ × 59¹
LCM(90846,90860) = 589590540