What is the Least Common Multiple of 90223 and 90230?

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 90223 and 90230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90223 and 90230, than apply into the LCM equation.

GCF(90223,90230) = 7
LCM(90223,90230) = ( 90223 × 90230) / 7
LCM(90223,90230) = 8140821290 / 7
LCM(90223,90230) = 1162974470

Least Common Multiple (LCM) of 90223 and 90230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90223 and 90230. First we will calculate the prime factors of 90223 and 90230.

Prime Factorization of 90223

Prime Factorization of 90230

Now multiplying the highest exponent prime factors to calculate the LCM of 90223 and 90230.

LCM(90223,90230) = 7¹ × 12889¹ × 2¹ × 5¹ × 1289¹
LCM(90223,90230) = 1162974470