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What is the Least Common Multiple of 90697 and 90703?

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 90697 and 90703 is 8226489991.

LCM(90697,90703) = 8226489991

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Least Common Multiple of 90697 and 90703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90697 and 90703, than apply into the LCM equation.

GCF(90697,90703) = 1
LCM(90697,90703) = ( 90697 × 90703) / 1
LCM(90697,90703) = 8226489991 / 1
LCM(90697,90703) = 8226489991

Least Common Multiple (LCM) of 90697 and 90703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90697 and 90703. First we will calculate the prime factors of 90697 and 90703.

Prime Factorization of 90697

Prime factors of 90697 are 90697. Prime factorization of 90697 in exponential form is:

90697 = 906971

Prime Factorization of 90703

Prime factors of 90703 are 90703. Prime factorization of 90703 in exponential form is:

90703 = 907031

Now multiplying the highest exponent prime factors to calculate the LCM of 90697 and 90703.

LCM(90697,90703) = 906971 × 907031
LCM(90697,90703) = 8226489991