What is the Least Common Multiple of 98067 and 98086?
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 98067 and 98086 is 9618999762.
LCM(98067,98086) = 9618999762
Least Common Multiple of 98067 and 98086 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98067 and 98086, than apply into the LCM equation.
GCF(98067,98086) = 1
LCM(98067,98086) = ( 98067 × 98086) / 1
LCM(98067,98086) = 9618999762 / 1
LCM(98067,98086) = 9618999762
Least Common Multiple (LCM) of 98067 and 98086 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98067 and 98086. First we will calculate the prime factors of 98067 and 98086.
Prime Factorization of 98067
Prime factors of 98067 are 3, 97, 337. Prime factorization of 98067 in exponential form is:
98067 = 31 × 971 × 3371
Prime Factorization of 98086
Prime factors of 98086 are 2, 49043. Prime factorization of 98086 in exponential form is:
98086 = 21 × 490431
Now multiplying the highest exponent prime factors to calculate the LCM of 98067 and 98086.
LCM(98067,98086) = 31 × 971 × 3371 × 21 × 490431
LCM(98067,98086) = 9618999762
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