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What is the Least Common Multiple of 61483 and 61503?

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 61483 and 61503 is 3781388949.

LCM(61483,61503) = 3781388949

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Least Common Multiple of 61483 and 61503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61483 and 61503, than apply into the LCM equation.

GCF(61483,61503) = 1
LCM(61483,61503) = ( 61483 × 61503) / 1
LCM(61483,61503) = 3781388949 / 1
LCM(61483,61503) = 3781388949

Least Common Multiple (LCM) of 61483 and 61503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61483 and 61503. First we will calculate the prime factors of 61483 and 61503.

Prime Factorization of 61483

Prime factors of 61483 are 61483. Prime factorization of 61483 in exponential form is:

61483 = 614831

Prime Factorization of 61503

Prime factors of 61503 are 3, 13, 19, 83. Prime factorization of 61503 in exponential form is:

61503 = 31 × 131 × 191 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 61483 and 61503.

LCM(61483,61503) = 614831 × 31 × 131 × 191 × 831
LCM(61483,61503) = 3781388949