What is the Least Common Multiple of 98153 and 98163?
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 98163 is 9634992939.
LCM(98153,98163) = 9634992939
Least Common Multiple of 98153 and 98163 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 98163, than apply into the LCM equation.
GCF(98153,98163) = 1
LCM(98153,98163) = ( 98153 × 98163) / 1
LCM(98153,98163) = 9634992939 / 1
LCM(98153,98163) = 9634992939
Least Common Multiple (LCM) of 98153 and 98163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98153 and 98163. First we will calculate the prime factors of 98153 and 98163.
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 98163
Prime factors of 98163 are 3, 13, 839. Prime factorization of 98163 in exponential form is:
98163 = 32 × 131 × 8391
Now multiplying the highest exponent prime factors to calculate the LCM of 98153 and 98163.
LCM(98153,98163) = 111 × 89231 × 32 × 131 × 8391
LCM(98153,98163) = 9634992939
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