What is the Least Common Multiple of 90470 and 90483?

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 90470 and 90483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90470 and 90483, than apply into the LCM equation.

GCF(90470,90483) = 1
LCM(90470,90483) = ( 90470 × 90483) / 1
LCM(90470,90483) = 8185997010 / 1
LCM(90470,90483) = 8185997010

Least Common Multiple (LCM) of 90470 and 90483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90470 and 90483. First we will calculate the prime factors of 90470 and 90483.

Prime Factorization of 90470

Prime Factorization of 90483

Now multiplying the highest exponent prime factors to calculate the LCM of 90470 and 90483.

LCM(90470,90483) = 2¹ × 5¹ × 83¹ × 109¹ × 3¹ × 30161¹
LCM(90470,90483) = 8185997010