What is the Least Common Multiple of 90077 and 90090?

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 90077 and 90090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90077 and 90090, than apply into the LCM equation.

GCF(90077,90090) = 13
LCM(90077,90090) = ( 90077 × 90090) / 13
LCM(90077,90090) = 8115036930 / 13
LCM(90077,90090) = 624233610

Least Common Multiple (LCM) of 90077 and 90090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90077 and 90090. First we will calculate the prime factors of 90077 and 90090.

Prime Factorization of 90077

Prime Factorization of 90090

Now multiplying the highest exponent prime factors to calculate the LCM of 90077 and 90090.

LCM(90077,90090) = 13³ × 41¹ × 2¹ × 3² × 5¹ × 7¹ × 11¹
LCM(90077,90090) = 624233610