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What is the Least Common Multiple of 61594 and 61600?

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 61594 and 61600 is 1897095200.

LCM(61594,61600) = 1897095200

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Least Common Multiple of 61594 and 61600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61594 and 61600, than apply into the LCM equation.

GCF(61594,61600) = 2
LCM(61594,61600) = ( 61594 × 61600) / 2
LCM(61594,61600) = 3794190400 / 2
LCM(61594,61600) = 1897095200

Least Common Multiple (LCM) of 61594 and 61600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61594 and 61600. First we will calculate the prime factors of 61594 and 61600.

Prime Factorization of 61594

Prime factors of 61594 are 2, 13, 23, 103. Prime factorization of 61594 in exponential form is:

61594 = 21 × 131 × 231 × 1031

Prime Factorization of 61600

Prime factors of 61600 are 2, 5, 7, 11. Prime factorization of 61600 in exponential form is:

61600 = 25 × 52 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 61594 and 61600.

LCM(61594,61600) = 25 × 131 × 231 × 1031 × 52 × 71 × 111
LCM(61594,61600) = 1897095200