What is the Least Common Multiple of 98347 and 98367?
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 98347 and 98367 is 9674099349.
LCM(98347,98367) = 9674099349
Least Common Multiple of 98347 and 98367 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98347 and 98367, than apply into the LCM equation.
GCF(98347,98367) = 1
LCM(98347,98367) = ( 98347 × 98367) / 1
LCM(98347,98367) = 9674099349 / 1
LCM(98347,98367) = 9674099349
Least Common Multiple (LCM) of 98347 and 98367 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98347 and 98367. First we will calculate the prime factors of 98347 and 98367.
Prime Factorization of 98347
Prime factors of 98347 are 98347. Prime factorization of 98347 in exponential form is:
98347 = 983471
Prime Factorization of 98367
Prime factors of 98367 are 3, 32789. Prime factorization of 98367 in exponential form is:
98367 = 31 × 327891
Now multiplying the highest exponent prime factors to calculate the LCM of 98347 and 98367.
LCM(98347,98367) = 983471 × 31 × 327891
LCM(98347,98367) = 9674099349
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