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What is the Least Common Multiple of 93931 and 93942?

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 93942 is 8824066002.

LCM(93931,93942) = 8824066002

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Least Common Multiple of 93931 and 93942 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 93942, than apply into the LCM equation.

GCF(93931,93942) = 1
LCM(93931,93942) = ( 93931 × 93942) / 1
LCM(93931,93942) = 8824066002 / 1
LCM(93931,93942) = 8824066002

Least Common Multiple (LCM) of 93931 and 93942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93931 and 93942. First we will calculate the prime factors of 93931 and 93942.

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 93942

Prime factors of 93942 are 2, 3, 17, 307. Prime factorization of 93942 in exponential form is:

93942 = 21 × 32 × 171 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 93931 and 93942.

LCM(93931,93942) = 291 × 411 × 791 × 21 × 32 × 171 × 3071
LCM(93931,93942) = 8824066002