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What is the Least Common Multiple of 72877 and 72883?

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 72877 and 72883 is 5311494391.

LCM(72877,72883) = 5311494391

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Least Common Multiple of 72877 and 72883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72877 and 72883, than apply into the LCM equation.

GCF(72877,72883) = 1
LCM(72877,72883) = ( 72877 × 72883) / 1
LCM(72877,72883) = 5311494391 / 1
LCM(72877,72883) = 5311494391

Least Common Multiple (LCM) of 72877 and 72883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72877 and 72883. First we will calculate the prime factors of 72877 and 72883.

Prime Factorization of 72877

Prime factors of 72877 are 7, 29, 359. Prime factorization of 72877 in exponential form is:

72877 = 71 × 291 × 3591

Prime Factorization of 72883

Prime factors of 72883 are 72883. Prime factorization of 72883 in exponential form is:

72883 = 728831

Now multiplying the highest exponent prime factors to calculate the LCM of 72877 and 72883.

LCM(72877,72883) = 71 × 291 × 3591 × 728831
LCM(72877,72883) = 5311494391