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What is the Least Common Multiple of 94810 and 94820?

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 94810 and 94820 is 898988420.

LCM(94810,94820) = 898988420

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Least Common Multiple of 94810 and 94820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94810 and 94820, than apply into the LCM equation.

GCF(94810,94820) = 10
LCM(94810,94820) = ( 94810 × 94820) / 10
LCM(94810,94820) = 8989884200 / 10
LCM(94810,94820) = 898988420

Least Common Multiple (LCM) of 94810 and 94820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94810 and 94820. First we will calculate the prime factors of 94810 and 94820.

Prime Factorization of 94810

Prime factors of 94810 are 2, 5, 19, 499. Prime factorization of 94810 in exponential form is:

94810 = 21 × 51 × 191 × 4991

Prime Factorization of 94820

Prime factors of 94820 are 2, 5, 11, 431. Prime factorization of 94820 in exponential form is:

94820 = 22 × 51 × 111 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 94810 and 94820.

LCM(94810,94820) = 22 × 51 × 191 × 4991 × 111 × 4311
LCM(94810,94820) = 898988420