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What is the Least Common Multiple of 77261 and 77275?

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 77261 and 77275 is 5970343775.

LCM(77261,77275) = 5970343775

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Least Common Multiple of 77261 and 77275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77261 and 77275, than apply into the LCM equation.

GCF(77261,77275) = 1
LCM(77261,77275) = ( 77261 × 77275) / 1
LCM(77261,77275) = 5970343775 / 1
LCM(77261,77275) = 5970343775

Least Common Multiple (LCM) of 77261 and 77275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77261 and 77275. First we will calculate the prime factors of 77261 and 77275.

Prime Factorization of 77261

Prime factors of 77261 are 77261. Prime factorization of 77261 in exponential form is:

77261 = 772611

Prime Factorization of 77275

Prime factors of 77275 are 5, 11, 281. Prime factorization of 77275 in exponential form is:

77275 = 52 × 111 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 77261 and 77275.

LCM(77261,77275) = 772611 × 52 × 111 × 2811
LCM(77261,77275) = 5970343775