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What is the Least Common Multiple of 90173 and 90180?

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 (LCM) of 90173 and 90180 is 8131801140.

LCM(90173,90180) = 8131801140

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Least Common Multiple of 90173 and 90180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90173 and 90180, than apply into the LCM equation.

GCF(90173,90180) = 1
LCM(90173,90180) = ( 90173 × 90180) / 1
LCM(90173,90180) = 8131801140 / 1
LCM(90173,90180) = 8131801140

Least Common Multiple (LCM) of 90173 and 90180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90173 and 90180. First we will calculate the prime factors of 90173 and 90180.

Prime Factorization of 90173

Prime factors of 90173 are 90173. Prime factorization of 90173 in exponential form is:

90173 = 901731

Prime Factorization of 90180

Prime factors of 90180 are 2, 3, 5, 167. Prime factorization of 90180 in exponential form is:

90180 = 22 × 33 × 51 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 90173 and 90180.

LCM(90173,90180) = 901731 × 22 × 33 × 51 × 1671
LCM(90173,90180) = 8131801140