What is the Least Common Multiple of 90057 and 90069?

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 90057 and 90069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90057 and 90069, than apply into the LCM equation.

GCF(90057,90069) = 3
LCM(90057,90069) = ( 90057 × 90069) / 3
LCM(90057,90069) = 8111343933 / 3
LCM(90057,90069) = 2703781311

Least Common Multiple (LCM) of 90057 and 90069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90057 and 90069. First we will calculate the prime factors of 90057 and 90069.

Prime Factorization of 90057

Prime Factorization of 90069

Now multiplying the highest exponent prime factors to calculate the LCM of 90057 and 90069.

LCM(90057,90069) = 3¹ × 11¹ × 2729¹ × 7¹ × 4289¹
LCM(90057,90069) = 2703781311