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What is the Least Common Multiple of 61865 and 61883?

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 61865 and 61883 is 3828391795.

LCM(61865,61883) = 3828391795

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Least Common Multiple of 61865 and 61883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61865 and 61883, than apply into the LCM equation.

GCF(61865,61883) = 1
LCM(61865,61883) = ( 61865 × 61883) / 1
LCM(61865,61883) = 3828391795 / 1
LCM(61865,61883) = 3828391795

Least Common Multiple (LCM) of 61865 and 61883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61865 and 61883. First we will calculate the prime factors of 61865 and 61883.

Prime Factorization of 61865

Prime factors of 61865 are 5, 12373. Prime factorization of 61865 in exponential form is:

61865 = 51 × 123731

Prime Factorization of 61883

Prime factors of 61883 are 19, 3257. Prime factorization of 61883 in exponential form is:

61883 = 191 × 32571

Now multiplying the highest exponent prime factors to calculate the LCM of 61865 and 61883.

LCM(61865,61883) = 51 × 123731 × 191 × 32571
LCM(61865,61883) = 3828391795