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What is the Least Common Multiple of 77273 and 77283?

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 77273 and 77283 is 5971889259.

LCM(77273,77283) = 5971889259

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Least Common Multiple of 77273 and 77283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77273 and 77283, than apply into the LCM equation.

GCF(77273,77283) = 1
LCM(77273,77283) = ( 77273 × 77283) / 1
LCM(77273,77283) = 5971889259 / 1
LCM(77273,77283) = 5971889259

Least Common Multiple (LCM) of 77273 and 77283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77273 and 77283. First we will calculate the prime factors of 77273 and 77283.

Prime Factorization of 77273

Prime factors of 77273 are 7, 19, 83. Prime factorization of 77273 in exponential form is:

77273 = 72 × 191 × 831

Prime Factorization of 77283

Prime factors of 77283 are 3, 31, 277. Prime factorization of 77283 in exponential form is:

77283 = 32 × 311 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 77273 and 77283.

LCM(77273,77283) = 72 × 191 × 831 × 32 × 311 × 2771
LCM(77273,77283) = 5971889259