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What is the Least Common Multiple of 61475 and 61483?

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 61475 and 61483 is 3779667425.

LCM(61475,61483) = 3779667425

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Least Common Multiple of 61475 and 61483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61475 and 61483, than apply into the LCM equation.

GCF(61475,61483) = 1
LCM(61475,61483) = ( 61475 × 61483) / 1
LCM(61475,61483) = 3779667425 / 1
LCM(61475,61483) = 3779667425

Least Common Multiple (LCM) of 61475 and 61483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61475 and 61483. First we will calculate the prime factors of 61475 and 61483.

Prime Factorization of 61475

Prime factors of 61475 are 5, 2459. Prime factorization of 61475 in exponential form is:

61475 = 52 × 24591

Prime Factorization of 61483

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

61483 = 614831

Now multiplying the highest exponent prime factors to calculate the LCM of 61475 and 61483.

LCM(61475,61483) = 52 × 24591 × 614831
LCM(61475,61483) = 3779667425