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What is the Least Common Multiple of 83761 and 83773?

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 83761 and 83773 is 7016910253.

LCM(83761,83773) = 7016910253

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Least Common Multiple of 83761 and 83773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83761 and 83773, than apply into the LCM equation.

GCF(83761,83773) = 1
LCM(83761,83773) = ( 83761 × 83773) / 1
LCM(83761,83773) = 7016910253 / 1
LCM(83761,83773) = 7016910253

Least Common Multiple (LCM) of 83761 and 83773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83761 and 83773. First we will calculate the prime factors of 83761 and 83773.

Prime Factorization of 83761

Prime factors of 83761 are 83761. Prime factorization of 83761 in exponential form is:

83761 = 837611

Prime Factorization of 83773

Prime factors of 83773 are 83773. Prime factorization of 83773 in exponential form is:

83773 = 837731

Now multiplying the highest exponent prime factors to calculate the LCM of 83761 and 83773.

LCM(83761,83773) = 837611 × 837731
LCM(83761,83773) = 7016910253