What is the Least Common Multiple of 98133 and 98153?
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 98133 and 98153 is 9632048349.
LCM(98133,98153) = 9632048349
Least Common Multiple of 98133 and 98153 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98133 and 98153, than apply into the LCM equation.
GCF(98133,98153) = 1
LCM(98133,98153) = ( 98133 × 98153) / 1
LCM(98133,98153) = 9632048349 / 1
LCM(98133,98153) = 9632048349
Least Common Multiple (LCM) of 98133 and 98153 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98133 and 98153. First we will calculate the prime factors of 98133 and 98153.
Prime Factorization of 98133
Prime factors of 98133 are 3, 7, 4673. Prime factorization of 98133 in exponential form is:
98133 = 31 × 71 × 46731
Prime Factorization of 98153
Prime factors of 98153 are 11, 8923. Prime factorization of 98153 in exponential form is:
98153 = 111 × 89231
Now multiplying the highest exponent prime factors to calculate the LCM of 98133 and 98153.
LCM(98133,98153) = 31 × 71 × 46731 × 111 × 89231
LCM(98133,98153) = 9632048349
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