What is the Least Common Multiple of 90210 and 90228?

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 90210 and 90228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90210 and 90228, than apply into the LCM equation.

GCF(90210,90228) = 6
LCM(90210,90228) = ( 90210 × 90228) / 6
LCM(90210,90228) = 8139467880 / 6
LCM(90210,90228) = 1356577980

Least Common Multiple (LCM) of 90210 and 90228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90210 and 90228. First we will calculate the prime factors of 90210 and 90228.

Prime Factorization of 90210

Prime Factorization of 90228

Now multiplying the highest exponent prime factors to calculate the LCM of 90210 and 90228.

LCM(90210,90228) = 2² × 3¹ × 5¹ × 31¹ × 97¹ × 73¹ × 103¹
LCM(90210,90228) = 1356577980