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What is the Least Common Multiple of 93338 and 93350?

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 93338 and 93350 is 4356551150.

LCM(93338,93350) = 4356551150

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Least Common Multiple of 93338 and 93350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93338 and 93350, than apply into the LCM equation.

GCF(93338,93350) = 2
LCM(93338,93350) = ( 93338 × 93350) / 2
LCM(93338,93350) = 8713102300 / 2
LCM(93338,93350) = 4356551150

Least Common Multiple (LCM) of 93338 and 93350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93338 and 93350. First we will calculate the prime factors of 93338 and 93350.

Prime Factorization of 93338

Prime factors of 93338 are 2, 7, 59, 113. Prime factorization of 93338 in exponential form is:

93338 = 21 × 71 × 591 × 1131

Prime Factorization of 93350

Prime factors of 93350 are 2, 5, 1867. Prime factorization of 93350 in exponential form is:

93350 = 21 × 52 × 18671

Now multiplying the highest exponent prime factors to calculate the LCM of 93338 and 93350.

LCM(93338,93350) = 21 × 71 × 591 × 1131 × 52 × 18671
LCM(93338,93350) = 4356551150