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What is the Least Common Multiple of 59471 and 59483?

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 59471 and 59483 is 3537513493.

LCM(59471,59483) = 3537513493

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Least Common Multiple of 59471 and 59483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59471 and 59483, than apply into the LCM equation.

GCF(59471,59483) = 1
LCM(59471,59483) = ( 59471 × 59483) / 1
LCM(59471,59483) = 3537513493 / 1
LCM(59471,59483) = 3537513493

Least Common Multiple (LCM) of 59471 and 59483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59471 and 59483. First we will calculate the prime factors of 59471 and 59483.

Prime Factorization of 59471

Prime factors of 59471 are 59471. Prime factorization of 59471 in exponential form is:

59471 = 594711

Prime Factorization of 59483

Prime factors of 59483 are 17, 3499. Prime factorization of 59483 in exponential form is:

59483 = 171 × 34991

Now multiplying the highest exponent prime factors to calculate the LCM of 59471 and 59483.

LCM(59471,59483) = 594711 × 171 × 34991
LCM(59471,59483) = 3537513493