What is the Least Common Multiple of 97852 and 97863?
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 97852 and 97863 is 9576090276.
LCM(97852,97863) = 9576090276
Least Common Multiple of 97852 and 97863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97852 and 97863, than apply into the LCM equation.
GCF(97852,97863) = 1
LCM(97852,97863) = ( 97852 × 97863) / 1
LCM(97852,97863) = 9576090276 / 1
LCM(97852,97863) = 9576090276
Least Common Multiple (LCM) of 97852 and 97863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97852 and 97863. First we will calculate the prime factors of 97852 and 97863.
Prime Factorization of 97852
Prime factors of 97852 are 2, 17, 1439. Prime factorization of 97852 in exponential form is:
97852 = 22 × 171 × 14391
Prime Factorization of 97863
Prime factors of 97863 are 3, 32621. Prime factorization of 97863 in exponential form is:
97863 = 31 × 326211
Now multiplying the highest exponent prime factors to calculate the LCM of 97852 and 97863.
LCM(97852,97863) = 22 × 171 × 14391 × 31 × 326211
LCM(97852,97863) = 9576090276
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