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What is the Least Common Multiple of 42359 and 42373?

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 42359 and 42373 is 1794877907.

LCM(42359,42373) = 1794877907

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Least Common Multiple of 42359 and 42373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42359 and 42373, than apply into the LCM equation.

GCF(42359,42373) = 1
LCM(42359,42373) = ( 42359 × 42373) / 1
LCM(42359,42373) = 1794877907 / 1
LCM(42359,42373) = 1794877907

Least Common Multiple (LCM) of 42359 and 42373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42359 and 42373. First we will calculate the prime factors of 42359 and 42373.

Prime Factorization of 42359

Prime factors of 42359 are 42359. Prime factorization of 42359 in exponential form is:

42359 = 423591

Prime Factorization of 42373

Prime factors of 42373 are 42373. Prime factorization of 42373 in exponential form is:

42373 = 423731

Now multiplying the highest exponent prime factors to calculate the LCM of 42359 and 42373.

LCM(42359,42373) = 423591 × 423731
LCM(42359,42373) = 1794877907