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What is the Least Common Multiple of 98153 and 98158?

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 98153 and 98158 is 9634502174.

LCM(98153,98158) = 9634502174

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Least Common Multiple of 98153 and 98158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98153 and 98158, than apply into the LCM equation.

GCF(98153,98158) = 1
LCM(98153,98158) = ( 98153 × 98158) / 1
LCM(98153,98158) = 9634502174 / 1
LCM(98153,98158) = 9634502174

Least Common Multiple (LCM) of 98153 and 98158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98153 and 98158. First we will calculate the prime factors of 98153 and 98158.

Prime Factorization of 98153

Prime factors of 98153 are 11, 8923. Prime factorization of 98153 in exponential form is:

98153 = 111 × 89231

Prime Factorization of 98158

Prime factors of 98158 are 2, 17, 2887. Prime factorization of 98158 in exponential form is:

98158 = 21 × 171 × 28871

Now multiplying the highest exponent prime factors to calculate the LCM of 98153 and 98158.

LCM(98153,98158) = 111 × 89231 × 21 × 171 × 28871
LCM(98153,98158) = 9634502174