What is the Least Common Multiple of 90522 and 90541?

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 90541 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 90541, than apply into the LCM equation.

GCF(90522,90541) = 1
LCM(90522,90541) = ( 90522 × 90541) / 1
LCM(90522,90541) = 8195952402 / 1
LCM(90522,90541) = 8195952402

Least Common Multiple (LCM) of 90522 and 90541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90522 and 90541. First we will calculate the prime factors of 90522 and 90541.

Prime Factorization of 90522

Prime Factorization of 90541

Now multiplying the highest exponent prime factors to calculate the LCM of 90522 and 90541.

LCM(90522,90541) = 2¹ × 3² × 47¹ × 107¹ × 11¹ × 8231¹
LCM(90522,90541) = 8195952402