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What is the Least Common Multiple of 59495 and 59503?

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 59495 and 59503 is 3540130985.

LCM(59495,59503) = 3540130985

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Least Common Multiple of 59495 and 59503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59495 and 59503, than apply into the LCM equation.

GCF(59495,59503) = 1
LCM(59495,59503) = ( 59495 × 59503) / 1
LCM(59495,59503) = 3540130985 / 1
LCM(59495,59503) = 3540130985

Least Common Multiple (LCM) of 59495 and 59503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59495 and 59503. First we will calculate the prime factors of 59495 and 59503.

Prime Factorization of 59495

Prime factors of 59495 are 5, 73, 163. Prime factorization of 59495 in exponential form is:

59495 = 51 × 731 × 1631

Prime Factorization of 59503

Prime factors of 59503 are 157, 379. Prime factorization of 59503 in exponential form is:

59503 = 1571 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 59495 and 59503.

LCM(59495,59503) = 51 × 731 × 1631 × 1571 × 3791
LCM(59495,59503) = 3540130985