What is the Least Common Multiple of 98047 and 98056?
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 98047 and 98056 is 9614096632.
LCM(98047,98056) = 9614096632
Least Common Multiple of 98047 and 98056 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98047 and 98056, than apply into the LCM equation.
GCF(98047,98056) = 1
LCM(98047,98056) = ( 98047 × 98056) / 1
LCM(98047,98056) = 9614096632 / 1
LCM(98047,98056) = 9614096632
Least Common Multiple (LCM) of 98047 and 98056 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98047 and 98056. First we will calculate the prime factors of 98047 and 98056.
Prime Factorization of 98047
Prime factors of 98047 are 98047. Prime factorization of 98047 in exponential form is:
98047 = 980471
Prime Factorization of 98056
Prime factors of 98056 are 2, 7, 17, 103. Prime factorization of 98056 in exponential form is:
98056 = 23 × 71 × 171 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 98047 and 98056.
LCM(98047,98056) = 980471 × 23 × 71 × 171 × 1031
LCM(98047,98056) = 9614096632
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