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What is the Least Common Multiple of 59435 and 59444?

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 59435 and 59444 is 3533054140.

LCM(59435,59444) = 3533054140

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Least Common Multiple of 59435 and 59444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59435 and 59444, than apply into the LCM equation.

GCF(59435,59444) = 1
LCM(59435,59444) = ( 59435 × 59444) / 1
LCM(59435,59444) = 3533054140 / 1
LCM(59435,59444) = 3533054140

Least Common Multiple (LCM) of 59435 and 59444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59435 and 59444. First we will calculate the prime factors of 59435 and 59444.

Prime Factorization of 59435

Prime factors of 59435 are 5, 11887. Prime factorization of 59435 in exponential form is:

59435 = 51 × 118871

Prime Factorization of 59444

Prime factors of 59444 are 2, 7, 11, 193. Prime factorization of 59444 in exponential form is:

59444 = 22 × 71 × 111 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 59435 and 59444.

LCM(59435,59444) = 51 × 118871 × 22 × 71 × 111 × 1931
LCM(59435,59444) = 3533054140