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What is the Least Common Multiple of 98011 and 98022?

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 98011 and 98022 is 9607234242.

LCM(98011,98022) = 9607234242

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Least Common Multiple of 98011 and 98022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98011 and 98022, than apply into the LCM equation.

GCF(98011,98022) = 1
LCM(98011,98022) = ( 98011 × 98022) / 1
LCM(98011,98022) = 9607234242 / 1
LCM(98011,98022) = 9607234242

Least Common Multiple (LCM) of 98011 and 98022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98011 and 98022. First we will calculate the prime factors of 98011 and 98022.

Prime Factorization of 98011

Prime factors of 98011 are 98011. Prime factorization of 98011 in exponential form is:

98011 = 980111

Prime Factorization of 98022

Prime factors of 98022 are 2, 3, 17, 31. Prime factorization of 98022 in exponential form is:

98022 = 21 × 31 × 171 × 312

Now multiplying the highest exponent prime factors to calculate the LCM of 98011 and 98022.

LCM(98011,98022) = 980111 × 21 × 31 × 171 × 312
LCM(98011,98022) = 9607234242