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What is the Least Common Multiple of 59425 and 59436?

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 59425 and 59436 is 3531984300.

LCM(59425,59436) = 3531984300

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Least Common Multiple of 59425 and 59436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59425 and 59436, than apply into the LCM equation.

GCF(59425,59436) = 1
LCM(59425,59436) = ( 59425 × 59436) / 1
LCM(59425,59436) = 3531984300 / 1
LCM(59425,59436) = 3531984300

Least Common Multiple (LCM) of 59425 and 59436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59425 and 59436. First we will calculate the prime factors of 59425 and 59436.

Prime Factorization of 59425

Prime factors of 59425 are 5, 2377. Prime factorization of 59425 in exponential form is:

59425 = 52 × 23771

Prime Factorization of 59436

Prime factors of 59436 are 2, 3, 13, 127. Prime factorization of 59436 in exponential form is:

59436 = 22 × 32 × 131 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 59425 and 59436.

LCM(59425,59436) = 52 × 23771 × 22 × 32 × 131 × 1271
LCM(59425,59436) = 3531984300