What is the Least Common Multiple of 90820 and 90835?

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 90820 and 90835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90820 and 90835, than apply into the LCM equation.

GCF(90820,90835) = 5
LCM(90820,90835) = ( 90820 × 90835) / 5
LCM(90820,90835) = 8249634700 / 5
LCM(90820,90835) = 1649926940

Least Common Multiple (LCM) of 90820 and 90835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90820 and 90835. First we will calculate the prime factors of 90820 and 90835.

Prime Factorization of 90820

Prime Factorization of 90835

Now multiplying the highest exponent prime factors to calculate the LCM of 90820 and 90835.

LCM(90820,90835) = 2² × 5¹ × 19¹ × 239¹ × 37¹ × 491¹
LCM(90820,90835) = 1649926940