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What is the Least Common Multiple of 98372 and 98387?

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 98372 and 98387 is 9678525964.

LCM(98372,98387) = 9678525964

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Least Common Multiple of 98372 and 98387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98372 and 98387, than apply into the LCM equation.

GCF(98372,98387) = 1
LCM(98372,98387) = ( 98372 × 98387) / 1
LCM(98372,98387) = 9678525964 / 1
LCM(98372,98387) = 9678525964

Least Common Multiple (LCM) of 98372 and 98387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98372 and 98387. First we will calculate the prime factors of 98372 and 98387.

Prime Factorization of 98372

Prime factors of 98372 are 2, 24593. Prime factorization of 98372 in exponential form is:

98372 = 22 × 245931

Prime Factorization of 98387

Prime factors of 98387 are 98387. Prime factorization of 98387 in exponential form is:

98387 = 983871

Now multiplying the highest exponent prime factors to calculate the LCM of 98372 and 98387.

LCM(98372,98387) = 22 × 245931 × 983871
LCM(98372,98387) = 9678525964