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What is the Least Common Multiple of 90807 and 90811?

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 90807 and 90811 is 8246274477.

LCM(90807,90811) = 8246274477

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Least Common Multiple of 90807 and 90811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90807 and 90811, than apply into the LCM equation.

GCF(90807,90811) = 1
LCM(90807,90811) = ( 90807 × 90811) / 1
LCM(90807,90811) = 8246274477 / 1
LCM(90807,90811) = 8246274477

Least Common Multiple (LCM) of 90807 and 90811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90807 and 90811. First we will calculate the prime factors of 90807 and 90811.

Prime Factorization of 90807

Prime factors of 90807 are 3, 30269. Prime factorization of 90807 in exponential form is:

90807 = 31 × 302691

Prime Factorization of 90811

Prime factors of 90811 are 7, 12973. Prime factorization of 90811 in exponential form is:

90811 = 71 × 129731

Now multiplying the highest exponent prime factors to calculate the LCM of 90807 and 90811.

LCM(90807,90811) = 31 × 302691 × 71 × 129731
LCM(90807,90811) = 8246274477