What is the Least Common Multiple of 97762 and 97782?
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 97762 and 97782 is 4779681942.
LCM(97762,97782) = 4779681942
Least Common Multiple of 97762 and 97782 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97762 and 97782, than apply into the LCM equation.
GCF(97762,97782) = 2
LCM(97762,97782) = ( 97762 × 97782) / 2
LCM(97762,97782) = 9559363884 / 2
LCM(97762,97782) = 4779681942
Least Common Multiple (LCM) of 97762 and 97782 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97762 and 97782. First we will calculate the prime factors of 97762 and 97782.
Prime Factorization of 97762
Prime factors of 97762 are 2, 7, 6983. Prime factorization of 97762 in exponential form is:
97762 = 21 × 71 × 69831
Prime Factorization of 97782
Prime factors of 97782 are 2, 3, 43, 379. Prime factorization of 97782 in exponential form is:
97782 = 21 × 31 × 431 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 97762 and 97782.
LCM(97762,97782) = 21 × 71 × 69831 × 31 × 431 × 3791
LCM(97762,97782) = 4779681942
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