What is the Least Common Multiple of 90522 and 90540?

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 90522 and 90540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90522 and 90540, than apply into the LCM equation.

GCF(90522,90540) = 18
LCM(90522,90540) = ( 90522 × 90540) / 18
LCM(90522,90540) = 8195861880 / 18
LCM(90522,90540) = 455325660

Least Common Multiple (LCM) of 90522 and 90540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90522 and 90540. First we will calculate the prime factors of 90522 and 90540.

Prime Factorization of 90522

Prime Factorization of 90540

Now multiplying the highest exponent prime factors to calculate the LCM of 90522 and 90540.

LCM(90522,90540) = 2² × 3² × 47¹ × 107¹ × 5¹ × 503¹
LCM(90522,90540) = 455325660