What is the Least Common Multiple of 97862 and 97868?
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 97862 and 97868 is 4788779108.
LCM(97862,97868) = 4788779108
Least Common Multiple of 97862 and 97868 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97862 and 97868, than apply into the LCM equation.
GCF(97862,97868) = 2
LCM(97862,97868) = ( 97862 × 97868) / 2
LCM(97862,97868) = 9577558216 / 2
LCM(97862,97868) = 4788779108
Least Common Multiple (LCM) of 97862 and 97868 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97862 and 97868. First we will calculate the prime factors of 97862 and 97868.
Prime Factorization of 97862
Prime factors of 97862 are 2, 167, 293. Prime factorization of 97862 in exponential form is:
97862 = 21 × 1671 × 2931
Prime Factorization of 97868
Prime factors of 97868 are 2, 43, 569. Prime factorization of 97868 in exponential form is:
97868 = 22 × 431 × 5691
Now multiplying the highest exponent prime factors to calculate the LCM of 97862 and 97868.
LCM(97862,97868) = 22 × 1671 × 2931 × 431 × 5691
LCM(97862,97868) = 4788779108
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