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What is the Least Common Multiple of 79420 and 79437?

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 79420 and 79437 is 6308886540.

LCM(79420,79437) = 6308886540

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Least Common Multiple of 79420 and 79437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79420 and 79437, than apply into the LCM equation.

GCF(79420,79437) = 1
LCM(79420,79437) = ( 79420 × 79437) / 1
LCM(79420,79437) = 6308886540 / 1
LCM(79420,79437) = 6308886540

Least Common Multiple (LCM) of 79420 and 79437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79420 and 79437. First we will calculate the prime factors of 79420 and 79437.

Prime Factorization of 79420

Prime factors of 79420 are 2, 5, 11, 19. Prime factorization of 79420 in exponential form is:

79420 = 22 × 51 × 111 × 192

Prime Factorization of 79437

Prime factors of 79437 are 3, 26479. Prime factorization of 79437 in exponential form is:

79437 = 31 × 264791

Now multiplying the highest exponent prime factors to calculate the LCM of 79420 and 79437.

LCM(79420,79437) = 22 × 51 × 111 × 192 × 31 × 264791
LCM(79420,79437) = 6308886540