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What is the Least Common Multiple of 72425 and 72442?

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 72425 and 72442 is 5246611850.

LCM(72425,72442) = 5246611850

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Least Common Multiple of 72425 and 72442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72425 and 72442, than apply into the LCM equation.

GCF(72425,72442) = 1
LCM(72425,72442) = ( 72425 × 72442) / 1
LCM(72425,72442) = 5246611850 / 1
LCM(72425,72442) = 5246611850

Least Common Multiple (LCM) of 72425 and 72442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72425 and 72442. First we will calculate the prime factors of 72425 and 72442.

Prime Factorization of 72425

Prime factors of 72425 are 5, 2897. Prime factorization of 72425 in exponential form is:

72425 = 52 × 28971

Prime Factorization of 72442

Prime factors of 72442 are 2, 29, 1249. Prime factorization of 72442 in exponential form is:

72442 = 21 × 291 × 12491

Now multiplying the highest exponent prime factors to calculate the LCM of 72425 and 72442.

LCM(72425,72442) = 52 × 28971 × 21 × 291 × 12491
LCM(72425,72442) = 5246611850