What is the Least Common Multiple of 98161 and 98171?
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 98161 and 98171 is 9636563531.
LCM(98161,98171) = 9636563531
Least Common Multiple of 98161 and 98171 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98161 and 98171, than apply into the LCM equation.
GCF(98161,98171) = 1
LCM(98161,98171) = ( 98161 × 98171) / 1
LCM(98161,98171) = 9636563531 / 1
LCM(98161,98171) = 9636563531
Least Common Multiple (LCM) of 98161 and 98171 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98161 and 98171. First we will calculate the prime factors of 98161 and 98171.
Prime Factorization of 98161
Prime factors of 98161 are 7, 37, 379. Prime factorization of 98161 in exponential form is:
98161 = 71 × 371 × 3791
Prime Factorization of 98171
Prime factors of 98171 are 127, 773. Prime factorization of 98171 in exponential form is:
98171 = 1271 × 7731
Now multiplying the highest exponent prime factors to calculate the LCM of 98161 and 98171.
LCM(98161,98171) = 71 × 371 × 3791 × 1271 × 7731
LCM(98161,98171) = 9636563531
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