What is the Least Common Multiple of 97849 and 97862?
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 97849 and 97862 is 9575698838.
LCM(97849,97862) = 9575698838
Least Common Multiple of 97849 and 97862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97849 and 97862, than apply into the LCM equation.
GCF(97849,97862) = 1
LCM(97849,97862) = ( 97849 × 97862) / 1
LCM(97849,97862) = 9575698838 / 1
LCM(97849,97862) = 9575698838
Least Common Multiple (LCM) of 97849 and 97862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97849 and 97862. First we will calculate the prime factors of 97849 and 97862.
Prime Factorization of 97849
Prime factors of 97849 are 97849. Prime factorization of 97849 in exponential form is:
97849 = 978491
Prime Factorization of 97862
Prime factors of 97862 are 2, 167, 293. Prime factorization of 97862 in exponential form is:
97862 = 21 × 1671 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 97849 and 97862.
LCM(97849,97862) = 978491 × 21 × 1671 × 2931
LCM(97849,97862) = 9575698838
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