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What is the Least Common Multiple of 72277 and 72287?

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 72277 and 72287 is 5224687499.

LCM(72277,72287) = 5224687499

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Least Common Multiple of 72277 and 72287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72277 and 72287, than apply into the LCM equation.

GCF(72277,72287) = 1
LCM(72277,72287) = ( 72277 × 72287) / 1
LCM(72277,72287) = 5224687499 / 1
LCM(72277,72287) = 5224687499

Least Common Multiple (LCM) of 72277 and 72287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72277 and 72287. First we will calculate the prime factors of 72277 and 72287.

Prime Factorization of 72277

Prime factors of 72277 are 72277. Prime factorization of 72277 in exponential form is:

72277 = 722771

Prime Factorization of 72287

Prime factors of 72287 are 72287. Prime factorization of 72287 in exponential form is:

72287 = 722871

Now multiplying the highest exponent prime factors to calculate the LCM of 72277 and 72287.

LCM(72277,72287) = 722771 × 722871
LCM(72277,72287) = 5224687499