What is the Least Common Multiple of 98187 and 98203?
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 98187 and 98203 is 9642257961.
LCM(98187,98203) = 9642257961
Least Common Multiple of 98187 and 98203 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98187 and 98203, than apply into the LCM equation.
GCF(98187,98203) = 1
LCM(98187,98203) = ( 98187 × 98203) / 1
LCM(98187,98203) = 9642257961 / 1
LCM(98187,98203) = 9642257961
Least Common Multiple (LCM) of 98187 and 98203 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98187 and 98203. First we will calculate the prime factors of 98187 and 98203.
Prime Factorization of 98187
Prime factors of 98187 are 3, 23, 1423. Prime factorization of 98187 in exponential form is:
98187 = 31 × 231 × 14231
Prime Factorization of 98203
Prime factors of 98203 are 7, 14029. Prime factorization of 98203 in exponential form is:
98203 = 71 × 140291
Now multiplying the highest exponent prime factors to calculate the LCM of 98187 and 98203.
LCM(98187,98203) = 31 × 231 × 14231 × 71 × 140291
LCM(98187,98203) = 9642257961
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