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What is the Least Common Multiple of 93931 and 93948?

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 93931 and 93948 is 8824629588.

LCM(93931,93948) = 8824629588

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Least Common Multiple of 93931 and 93948 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93931 and 93948, than apply into the LCM equation.

GCF(93931,93948) = 1
LCM(93931,93948) = ( 93931 × 93948) / 1
LCM(93931,93948) = 8824629588 / 1
LCM(93931,93948) = 8824629588

Least Common Multiple (LCM) of 93931 and 93948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93931 and 93948. First we will calculate the prime factors of 93931 and 93948.

Prime Factorization of 93931

Prime factors of 93931 are 29, 41, 79. Prime factorization of 93931 in exponential form is:

93931 = 291 × 411 × 791

Prime Factorization of 93948

Prime factors of 93948 are 2, 3, 7829. Prime factorization of 93948 in exponential form is:

93948 = 22 × 31 × 78291

Now multiplying the highest exponent prime factors to calculate the LCM of 93931 and 93948.

LCM(93931,93948) = 291 × 411 × 791 × 22 × 31 × 78291
LCM(93931,93948) = 8824629588