What is the Least Common Multiple of 90834 and 90847?

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 90834 and 90847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90834 and 90847, than apply into the LCM equation.

GCF(90834,90847) = 1
LCM(90834,90847) = ( 90834 × 90847) / 1
LCM(90834,90847) = 8251996398 / 1
LCM(90834,90847) = 8251996398

Least Common Multiple (LCM) of 90834 and 90847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90834 and 90847. First we will calculate the prime factors of 90834 and 90847.

Prime Factorization of 90834

Prime Factorization of 90847

Now multiplying the highest exponent prime factors to calculate the LCM of 90834 and 90847.

LCM(90834,90847) = 2¹ × 3¹ × 15139¹ × 90847¹
LCM(90834,90847) = 8251996398