What is the Least Common Multiple of 98366 and 98371?
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 98366 and 98371 is 9676361786.
LCM(98366,98371) = 9676361786
Least Common Multiple of 98366 and 98371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98366 and 98371, than apply into the LCM equation.
GCF(98366,98371) = 1
LCM(98366,98371) = ( 98366 × 98371) / 1
LCM(98366,98371) = 9676361786 / 1
LCM(98366,98371) = 9676361786
Least Common Multiple (LCM) of 98366 and 98371 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98366 and 98371. First we will calculate the prime factors of 98366 and 98371.
Prime Factorization of 98366
Prime factors of 98366 are 2, 137, 359. Prime factorization of 98366 in exponential form is:
98366 = 21 × 1371 × 3591
Prime Factorization of 98371
Prime factors of 98371 are 7, 13, 23, 47. Prime factorization of 98371 in exponential form is:
98371 = 71 × 131 × 231 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 98366 and 98371.
LCM(98366,98371) = 21 × 1371 × 3591 × 71 × 131 × 231 × 471
LCM(98366,98371) = 9676361786
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