What is the Least Common Multiple of 97828 and 97847?
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 97828 and 97847 is 9572176316.
LCM(97828,97847) = 9572176316
Least Common Multiple of 97828 and 97847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97828 and 97847, than apply into the LCM equation.
GCF(97828,97847) = 1
LCM(97828,97847) = ( 97828 × 97847) / 1
LCM(97828,97847) = 9572176316 / 1
LCM(97828,97847) = 9572176316
Least Common Multiple (LCM) of 97828 and 97847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97828 and 97847. First we will calculate the prime factors of 97828 and 97847.
Prime Factorization of 97828
Prime factors of 97828 are 2, 37, 661. Prime factorization of 97828 in exponential form is:
97828 = 22 × 371 × 6611
Prime Factorization of 97847
Prime factors of 97847 are 97847. Prime factorization of 97847 in exponential form is:
97847 = 978471
Now multiplying the highest exponent prime factors to calculate the LCM of 97828 and 97847.
LCM(97828,97847) = 22 × 371 × 6611 × 978471
LCM(97828,97847) = 9572176316
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