What is the Least Common Multiple of 90577 and 90590?

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 90577 and 90590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90577 and 90590, than apply into the LCM equation.

GCF(90577,90590) = 1
LCM(90577,90590) = ( 90577 × 90590) / 1
LCM(90577,90590) = 8205370430 / 1
LCM(90577,90590) = 8205370430

Least Common Multiple (LCM) of 90577 and 90590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90577 and 90590. First we will calculate the prime factors of 90577 and 90590.

Prime Factorization of 90577

Prime Factorization of 90590

Now multiplying the highest exponent prime factors to calculate the LCM of 90577 and 90590.

LCM(90577,90590) = 53¹ × 1709¹ × 2¹ × 5¹ × 9059¹
LCM(90577,90590) = 8205370430