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What is the Least Common Multiple of 94522 and 94535?

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 94522 and 94535 is 8935637270.

LCM(94522,94535) = 8935637270

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Least Common Multiple of 94522 and 94535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94522 and 94535, than apply into the LCM equation.

GCF(94522,94535) = 1
LCM(94522,94535) = ( 94522 × 94535) / 1
LCM(94522,94535) = 8935637270 / 1
LCM(94522,94535) = 8935637270

Least Common Multiple (LCM) of 94522 and 94535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94522 and 94535. First we will calculate the prime factors of 94522 and 94535.

Prime Factorization of 94522

Prime factors of 94522 are 2, 167, 283. Prime factorization of 94522 in exponential form is:

94522 = 21 × 1671 × 2831

Prime Factorization of 94535

Prime factors of 94535 are 5, 7, 37, 73. Prime factorization of 94535 in exponential form is:

94535 = 51 × 71 × 371 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 94522 and 94535.

LCM(94522,94535) = 21 × 1671 × 2831 × 51 × 71 × 371 × 731
LCM(94522,94535) = 8935637270