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What is the Least Common Multiple of 94820 and 94829?

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 94820 and 94829 is 8991685780.

LCM(94820,94829) = 8991685780

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Least Common Multiple of 94820 and 94829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94820 and 94829, than apply into the LCM equation.

GCF(94820,94829) = 1
LCM(94820,94829) = ( 94820 × 94829) / 1
LCM(94820,94829) = 8991685780 / 1
LCM(94820,94829) = 8991685780

Least Common Multiple (LCM) of 94820 and 94829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94820 and 94829. First we will calculate the prime factors of 94820 and 94829.

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

Prime Factorization of 94829

Prime factors of 94829 are 7, 19, 23, 31. Prime factorization of 94829 in exponential form is:

94829 = 71 × 191 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 94820 and 94829.

LCM(94820,94829) = 22 × 51 × 111 × 4311 × 71 × 191 × 231 × 311
LCM(94820,94829) = 8991685780