What is the Least Common Multiple of 90236 and 90253?

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 90236 and 90253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90236 and 90253, than apply into the LCM equation.

GCF(90236,90253) = 17
LCM(90236,90253) = ( 90236 × 90253) / 17
LCM(90236,90253) = 8144069708 / 17
LCM(90236,90253) = 479062924

Least Common Multiple (LCM) of 90236 and 90253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90236 and 90253. First we will calculate the prime factors of 90236 and 90253.

Prime Factorization of 90236

Prime Factorization of 90253

Now multiplying the highest exponent prime factors to calculate the LCM of 90236 and 90253.

LCM(90236,90253) = 2² × 17¹ × 1327¹ × 5309¹
LCM(90236,90253) = 479062924