What is the Least Common Multiple of 90822 and 90834?

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 90822 and 90834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90822 and 90834, than apply into the LCM equation.

GCF(90822,90834) = 6
LCM(90822,90834) = ( 90822 × 90834) / 6
LCM(90822,90834) = 8249725548 / 6
LCM(90822,90834) = 1374954258

Least Common Multiple (LCM) of 90822 and 90834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90822 and 90834. First we will calculate the prime factors of 90822 and 90834.

Prime Factorization of 90822

Prime Factorization of 90834

Now multiplying the highest exponent prime factors to calculate the LCM of 90822 and 90834.

LCM(90822,90834) = 2¹ × 3¹ × 15137¹ × 15139¹
LCM(90822,90834) = 1374954258