What is the Least Common Multiple of 98987 and 98998?
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 98987 and 98998 is 9799515026.
LCM(98987,98998) = 9799515026
Least Common Multiple of 98987 and 98998 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98987 and 98998, than apply into the LCM equation.
GCF(98987,98998) = 1
LCM(98987,98998) = ( 98987 × 98998) / 1
LCM(98987,98998) = 9799515026 / 1
LCM(98987,98998) = 9799515026
Least Common Multiple (LCM) of 98987 and 98998 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98987 and 98998. First we will calculate the prime factors of 98987 and 98998.
Prime Factorization of 98987
Prime factors of 98987 are 7, 79, 179. Prime factorization of 98987 in exponential form is:
98987 = 71 × 791 × 1791
Prime Factorization of 98998
Prime factors of 98998 are 2, 49499. Prime factorization of 98998 in exponential form is:
98998 = 21 × 494991
Now multiplying the highest exponent prime factors to calculate the LCM of 98987 and 98998.
LCM(98987,98998) = 71 × 791 × 1791 × 21 × 494991
LCM(98987,98998) = 9799515026
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