What is the Least Common Multiple of 90835 and 90842?

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 90835 and 90842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90835 and 90842, than apply into the LCM equation.

GCF(90835,90842) = 1
LCM(90835,90842) = ( 90835 × 90842) / 1
LCM(90835,90842) = 8251633070 / 1
LCM(90835,90842) = 8251633070

Least Common Multiple (LCM) of 90835 and 90842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90835 and 90842. First we will calculate the prime factors of 90835 and 90842.

Prime Factorization of 90835

Prime Factorization of 90842

Now multiplying the highest exponent prime factors to calculate the LCM of 90835 and 90842.

LCM(90835,90842) = 5¹ × 37¹ × 491¹ × 2¹ × 53¹ × 857¹
LCM(90835,90842) = 8251633070