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What is the Least Common Multiple of 93434 and 93454?

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 93434 and 93454 is 4365890518.

LCM(93434,93454) = 4365890518

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Least Common Multiple of 93434 and 93454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93434 and 93454, than apply into the LCM equation.

GCF(93434,93454) = 2
LCM(93434,93454) = ( 93434 × 93454) / 2
LCM(93434,93454) = 8731781036 / 2
LCM(93434,93454) = 4365890518

Least Common Multiple (LCM) of 93434 and 93454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93434 and 93454. First we will calculate the prime factors of 93434 and 93454.

Prime Factorization of 93434

Prime factors of 93434 are 2, 11, 31, 137. Prime factorization of 93434 in exponential form is:

93434 = 21 × 111 × 311 × 1371

Prime Factorization of 93454

Prime factors of 93454 are 2, 46727. Prime factorization of 93454 in exponential form is:

93454 = 21 × 467271

Now multiplying the highest exponent prime factors to calculate the LCM of 93434 and 93454.

LCM(93434,93454) = 21 × 111 × 311 × 1371 × 467271
LCM(93434,93454) = 4365890518