What is the Least Common Multiple of 90508 and 90522?

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 90508 and 90522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90508 and 90522, than apply into the LCM equation.

GCF(90508,90522) = 2
LCM(90508,90522) = ( 90508 × 90522) / 2
LCM(90508,90522) = 8192965176 / 2
LCM(90508,90522) = 4096482588

Least Common Multiple (LCM) of 90508 and 90522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90508 and 90522. First we will calculate the prime factors of 90508 and 90522.

Prime Factorization of 90508

Prime Factorization of 90522

Now multiplying the highest exponent prime factors to calculate the LCM of 90508 and 90522.

LCM(90508,90522) = 2² × 11³ × 17¹ × 3² × 47¹ × 107¹
LCM(90508,90522) = 4096482588