What is the Least Common Multiple of 90213 and 90222?

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 90213 and 90222 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90213 and 90222, than apply into the LCM equation.

GCF(90213,90222) = 3
LCM(90213,90222) = ( 90213 × 90222) / 3
LCM(90213,90222) = 8139197286 / 3
LCM(90213,90222) = 2713065762

Least Common Multiple (LCM) of 90213 and 90222 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90213 and 90222. First we will calculate the prime factors of 90213 and 90222.

Prime Factorization of 90213

Prime Factorization of 90222

Now multiplying the highest exponent prime factors to calculate the LCM of 90213 and 90222.

LCM(90213,90222) = 3¹ × 30071¹ × 2¹ × 11¹ × 1367¹
LCM(90213,90222) = 2713065762