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What is the Least Common Multiple of 93922 and 93933?

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 93922 and 93933 is 8822375226.

LCM(93922,93933) = 8822375226

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Least Common Multiple of 93922 and 93933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93922 and 93933, than apply into the LCM equation.

GCF(93922,93933) = 1
LCM(93922,93933) = ( 93922 × 93933) / 1
LCM(93922,93933) = 8822375226 / 1
LCM(93922,93933) = 8822375226

Least Common Multiple (LCM) of 93922 and 93933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93922 and 93933. First we will calculate the prime factors of 93922 and 93933.

Prime Factorization of 93922

Prime factors of 93922 are 2, 151, 311. Prime factorization of 93922 in exponential form is:

93922 = 21 × 1511 × 3111

Prime Factorization of 93933

Prime factors of 93933 are 3, 7, 71. Prime factorization of 93933 in exponential form is:

93933 = 33 × 72 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 93922 and 93933.

LCM(93922,93933) = 21 × 1511 × 3111 × 33 × 72 × 711
LCM(93922,93933) = 8822375226