What is the Least Common Multiple of 90573 and 90587?

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 90573 and 90587 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90573 and 90587, than apply into the LCM equation.

GCF(90573,90587) = 7
LCM(90573,90587) = ( 90573 × 90587) / 7
LCM(90573,90587) = 8204736351 / 7
LCM(90573,90587) = 1172105193

Least Common Multiple (LCM) of 90573 and 90587 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90573 and 90587. First we will calculate the prime factors of 90573 and 90587.

Prime Factorization of 90573

Prime Factorization of 90587

Now multiplying the highest exponent prime factors to calculate the LCM of 90573 and 90587.

LCM(90573,90587) = 3¹ × 7¹ × 19¹ × 227¹ × 12941¹
LCM(90573,90587) = 1172105193