What is the Least Common Multiple of 90230 and 90244?

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 90230 and 90244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90230 and 90244, than apply into the LCM equation.

GCF(90230,90244) = 14
LCM(90230,90244) = ( 90230 × 90244) / 14
LCM(90230,90244) = 8142716120 / 14
LCM(90230,90244) = 581622580

Least Common Multiple (LCM) of 90230 and 90244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90230 and 90244. First we will calculate the prime factors of 90230 and 90244.

Prime Factorization of 90230

Prime Factorization of 90244

Now multiplying the highest exponent prime factors to calculate the LCM of 90230 and 90244.

LCM(90230,90244) = 2² × 5¹ × 7¹ × 1289¹ × 11¹ × 293¹
LCM(90230,90244) = 581622580