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What is the Least Common Multiple of 59497 and 59506?

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 59497 and 59506 is 3540428482.

LCM(59497,59506) = 3540428482

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Least Common Multiple of 59497 and 59506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59497 and 59506, than apply into the LCM equation.

GCF(59497,59506) = 1
LCM(59497,59506) = ( 59497 × 59506) / 1
LCM(59497,59506) = 3540428482 / 1
LCM(59497,59506) = 3540428482

Least Common Multiple (LCM) of 59497 and 59506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59497 and 59506. First we will calculate the prime factors of 59497 and 59506.

Prime Factorization of 59497

Prime factors of 59497 are 59497. Prime factorization of 59497 in exponential form is:

59497 = 594971

Prime Factorization of 59506

Prime factors of 59506 are 2, 29753. Prime factorization of 59506 in exponential form is:

59506 = 21 × 297531

Now multiplying the highest exponent prime factors to calculate the LCM of 59497 and 59506.

LCM(59497,59506) = 594971 × 21 × 297531
LCM(59497,59506) = 3540428482