What is the Least Common Multiple of 90442 and 90455?

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 90442 and 90455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90442 and 90455, than apply into the LCM equation.

GCF(90442,90455) = 1
LCM(90442,90455) = ( 90442 × 90455) / 1
LCM(90442,90455) = 8180931110 / 1
LCM(90442,90455) = 8180931110

Least Common Multiple (LCM) of 90442 and 90455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90442 and 90455. First we will calculate the prime factors of 90442 and 90455.

Prime Factorization of 90442

Prime Factorization of 90455

Now multiplying the highest exponent prime factors to calculate the LCM of 90442 and 90455.

LCM(90442,90455) = 2¹ × 11¹ × 4111¹ × 5¹ × 79¹ × 229¹
LCM(90442,90455) = 8180931110