What is the Least Common Multiple of 90580 and 90592?

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 90580 and 90592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90580 and 90592, than apply into the LCM equation.

GCF(90580,90592) = 4
LCM(90580,90592) = ( 90580 × 90592) / 4
LCM(90580,90592) = 8205823360 / 4
LCM(90580,90592) = 2051455840

Least Common Multiple (LCM) of 90580 and 90592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90580 and 90592. First we will calculate the prime factors of 90580 and 90592.

Prime Factorization of 90580

Prime Factorization of 90592

Now multiplying the highest exponent prime factors to calculate the LCM of 90580 and 90592.

LCM(90580,90592) = 2⁵ × 5¹ × 7¹ × 647¹ × 19¹ × 149¹
LCM(90580,90592) = 2051455840