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What is the Least Common Multiple of 59437 and 59455?

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 59437 and 59455 is 3533826835.

LCM(59437,59455) = 3533826835

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Least Common Multiple of 59437 and 59455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59437 and 59455, than apply into the LCM equation.

GCF(59437,59455) = 1
LCM(59437,59455) = ( 59437 × 59455) / 1
LCM(59437,59455) = 3533826835 / 1
LCM(59437,59455) = 3533826835

Least Common Multiple (LCM) of 59437 and 59455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59437 and 59455. First we will calculate the prime factors of 59437 and 59455.

Prime Factorization of 59437

Prime factors of 59437 are 7, 1213. Prime factorization of 59437 in exponential form is:

59437 = 72 × 12131

Prime Factorization of 59455

Prime factors of 59455 are 5, 11, 23, 47. Prime factorization of 59455 in exponential form is:

59455 = 51 × 111 × 231 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 59437 and 59455.

LCM(59437,59455) = 72 × 12131 × 51 × 111 × 231 × 471
LCM(59437,59455) = 3533826835