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What is the Least Common Multiple of 98878 and 98888?

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 98878 and 98888 is 4888923832.

LCM(98878,98888) = 4888923832

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Least Common Multiple of 98878 and 98888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98878 and 98888, than apply into the LCM equation.

GCF(98878,98888) = 2
LCM(98878,98888) = ( 98878 × 98888) / 2
LCM(98878,98888) = 9777847664 / 2
LCM(98878,98888) = 4888923832

Least Common Multiple (LCM) of 98878 and 98888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98878 and 98888. First we will calculate the prime factors of 98878 and 98888.

Prime Factorization of 98878

Prime factors of 98878 are 2, 13, 3803. Prime factorization of 98878 in exponential form is:

98878 = 21 × 131 × 38031

Prime Factorization of 98888

Prime factors of 98888 are 2, 47, 263. Prime factorization of 98888 in exponential form is:

98888 = 23 × 471 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 98878 and 98888.

LCM(98878,98888) = 23 × 131 × 38031 × 471 × 2631
LCM(98878,98888) = 4888923832