What is the Least Common Multiple of 90228 and 90247?

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 90228 and 90247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90228 and 90247, than apply into the LCM equation.

GCF(90228,90247) = 1
LCM(90228,90247) = ( 90228 × 90247) / 1
LCM(90228,90247) = 8142806316 / 1
LCM(90228,90247) = 8142806316

Least Common Multiple (LCM) of 90228 and 90247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90228 and 90247. First we will calculate the prime factors of 90228 and 90247.

Prime Factorization of 90228

Prime Factorization of 90247

Now multiplying the highest exponent prime factors to calculate the LCM of 90228 and 90247.

LCM(90228,90247) = 2² × 3¹ × 73¹ × 103¹ × 90247¹
LCM(90228,90247) = 8142806316