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What is the Least Common Multiple of 59453 and 59473?

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 59453 and 59473 is 3535848269.

LCM(59453,59473) = 3535848269

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Least Common Multiple of 59453 and 59473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59453 and 59473, than apply into the LCM equation.

GCF(59453,59473) = 1
LCM(59453,59473) = ( 59453 × 59473) / 1
LCM(59453,59473) = 3535848269 / 1
LCM(59453,59473) = 3535848269

Least Common Multiple (LCM) of 59453 and 59473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59453 and 59473. First we will calculate the prime factors of 59453 and 59473.

Prime Factorization of 59453

Prime factors of 59453 are 59453. Prime factorization of 59453 in exponential form is:

59453 = 594531

Prime Factorization of 59473

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

59473 = 594731

Now multiplying the highest exponent prime factors to calculate the LCM of 59453 and 59473.

LCM(59453,59473) = 594531 × 594731
LCM(59453,59473) = 3535848269