What is the Least Common Multiple of 90542 and 90561?

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 90542 and 90561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90542 and 90561, than apply into the LCM equation.

GCF(90542,90561) = 1
LCM(90542,90561) = ( 90542 × 90561) / 1
LCM(90542,90561) = 8199574062 / 1
LCM(90542,90561) = 8199574062

Least Common Multiple (LCM) of 90542 and 90561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90542 and 90561. First we will calculate the prime factors of 90542 and 90561.

Prime Factorization of 90542

Prime Factorization of 90561

Now multiplying the highest exponent prime factors to calculate the LCM of 90542 and 90561.

LCM(90542,90561) = 2¹ × 17¹ × 2663¹ × 3¹ × 30187¹
LCM(90542,90561) = 8199574062