What is the Least Common Multiple of 90512 and 90526?

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 90512 and 90526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90512 and 90526, than apply into the LCM equation.

GCF(90512,90526) = 2
LCM(90512,90526) = ( 90512 × 90526) / 2
LCM(90512,90526) = 8193689312 / 2
LCM(90512,90526) = 4096844656

Least Common Multiple (LCM) of 90512 and 90526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90512 and 90526. First we will calculate the prime factors of 90512 and 90526.

Prime Factorization of 90512

Prime Factorization of 90526

Now multiplying the highest exponent prime factors to calculate the LCM of 90512 and 90526.

LCM(90512,90526) = 2⁴ × 5657¹ × 45263¹
LCM(90512,90526) = 4096844656