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What is the Least Common Multiple of 94929 and 94933?

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 94929 and 94933 is 9011894757.

LCM(94929,94933) = 9011894757

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Least Common Multiple of 94929 and 94933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94929 and 94933, than apply into the LCM equation.

GCF(94929,94933) = 1
LCM(94929,94933) = ( 94929 × 94933) / 1
LCM(94929,94933) = 9011894757 / 1
LCM(94929,94933) = 9011894757

Least Common Multiple (LCM) of 94929 and 94933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94929 and 94933. First we will calculate the prime factors of 94929 and 94933.

Prime Factorization of 94929

Prime factors of 94929 are 3, 31643. Prime factorization of 94929 in exponential form is:

94929 = 31 × 316431

Prime Factorization of 94933

Prime factors of 94933 are 94933. Prime factorization of 94933 in exponential form is:

94933 = 949331

Now multiplying the highest exponent prime factors to calculate the LCM of 94929 and 94933.

LCM(94929,94933) = 31 × 316431 × 949331
LCM(94929,94933) = 9011894757