What is the Least Common Multiple of 90560 and 90565?

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 90560 and 90565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90560 and 90565, than apply into the LCM equation.

GCF(90560,90565) = 5
LCM(90560,90565) = ( 90560 × 90565) / 5
LCM(90560,90565) = 8201566400 / 5
LCM(90560,90565) = 1640313280

Least Common Multiple (LCM) of 90560 and 90565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90560 and 90565. First we will calculate the prime factors of 90560 and 90565.

Prime Factorization of 90560

Prime Factorization of 90565

Now multiplying the highest exponent prime factors to calculate the LCM of 90560 and 90565.

LCM(90560,90565) = 2⁶ × 5¹ × 283¹ × 59¹ × 307¹
LCM(90560,90565) = 1640313280