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What is the Least Common Multiple of 98827 and 98840?

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 98827 and 98840 is 9768060680.

LCM(98827,98840) = 9768060680

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Least Common Multiple of 98827 and 98840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98827 and 98840, than apply into the LCM equation.

GCF(98827,98840) = 1
LCM(98827,98840) = ( 98827 × 98840) / 1
LCM(98827,98840) = 9768060680 / 1
LCM(98827,98840) = 9768060680

Least Common Multiple (LCM) of 98827 and 98840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98827 and 98840. First we will calculate the prime factors of 98827 and 98840.

Prime Factorization of 98827

Prime factors of 98827 are 37, 2671. Prime factorization of 98827 in exponential form is:

98827 = 371 × 26711

Prime Factorization of 98840

Prime factors of 98840 are 2, 5, 7, 353. Prime factorization of 98840 in exponential form is:

98840 = 23 × 51 × 71 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 98827 and 98840.

LCM(98827,98840) = 371 × 26711 × 23 × 51 × 71 × 3531
LCM(98827,98840) = 9768060680