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What is the Least Common Multiple of 59473 and 59485?

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 59473 and 59485 is 3537751405.

LCM(59473,59485) = 3537751405

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Least Common Multiple of 59473 and 59485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59473 and 59485, than apply into the LCM equation.

GCF(59473,59485) = 1
LCM(59473,59485) = ( 59473 × 59485) / 1
LCM(59473,59485) = 3537751405 / 1
LCM(59473,59485) = 3537751405

Least Common Multiple (LCM) of 59473 and 59485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59473 and 59485. First we will calculate the prime factors of 59473 and 59485.

Prime Factorization of 59473

Prime factors of 59473 are 59473. Prime factorization of 59473 in exponential form is:

59473 = 594731

Prime Factorization of 59485

Prime factors of 59485 are 5, 11897. Prime factorization of 59485 in exponential form is:

59485 = 51 × 118971

Now multiplying the highest exponent prime factors to calculate the LCM of 59473 and 59485.

LCM(59473,59485) = 594731 × 51 × 118971
LCM(59473,59485) = 3537751405