What is the Least Common Multiple of 98215 and 98223?
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 98215 and 98223 is 9646971945.
LCM(98215,98223) = 9646971945
Least Common Multiple of 98215 and 98223 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98215 and 98223, than apply into the LCM equation.
GCF(98215,98223) = 1
LCM(98215,98223) = ( 98215 × 98223) / 1
LCM(98215,98223) = 9646971945 / 1
LCM(98215,98223) = 9646971945
Least Common Multiple (LCM) of 98215 and 98223 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98215 and 98223. First we will calculate the prime factors of 98215 and 98223.
Prime Factorization of 98215
Prime factors of 98215 are 5, 13, 1511. Prime factorization of 98215 in exponential form is:
98215 = 51 × 131 × 15111
Prime Factorization of 98223
Prime factors of 98223 are 3, 29, 1129. Prime factorization of 98223 in exponential form is:
98223 = 31 × 291 × 11291
Now multiplying the highest exponent prime factors to calculate the LCM of 98215 and 98223.
LCM(98215,98223) = 51 × 131 × 15111 × 31 × 291 × 11291
LCM(98215,98223) = 9646971945
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