What is the Least Common Multiple of 90810 and 90820?

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 90810 and 90820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90810 and 90820, than apply into the LCM equation.

GCF(90810,90820) = 10
LCM(90810,90820) = ( 90810 × 90820) / 10
LCM(90810,90820) = 8247364200 / 10
LCM(90810,90820) = 824736420

Least Common Multiple (LCM) of 90810 and 90820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90810 and 90820. First we will calculate the prime factors of 90810 and 90820.

Prime Factorization of 90810

Prime Factorization of 90820

Now multiplying the highest exponent prime factors to calculate the LCM of 90810 and 90820.

LCM(90810,90820) = 2² × 3² × 5¹ × 1009¹ × 19¹ × 239¹
LCM(90810,90820) = 824736420