What is the Least Common Multiple of 98197 and 98217?
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 98197 and 98217 is 9644614749.
LCM(98197,98217) = 9644614749
Least Common Multiple of 98197 and 98217 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98197 and 98217, than apply into the LCM equation.
GCF(98197,98217) = 1
LCM(98197,98217) = ( 98197 × 98217) / 1
LCM(98197,98217) = 9644614749 / 1
LCM(98197,98217) = 9644614749
Least Common Multiple (LCM) of 98197 and 98217 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98197 and 98217. First we will calculate the prime factors of 98197 and 98217.
Prime Factorization of 98197
Prime factors of 98197 are 11, 79, 113. Prime factorization of 98197 in exponential form is:
98197 = 111 × 791 × 1131
Prime Factorization of 98217
Prime factors of 98217 are 3, 7, 1559. Prime factorization of 98217 in exponential form is:
98217 = 32 × 71 × 15591
Now multiplying the highest exponent prime factors to calculate the LCM of 98197 and 98217.
LCM(98197,98217) = 111 × 791 × 1131 × 32 × 71 × 15591
LCM(98197,98217) = 9644614749
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