What is the Least Common Multiple of 97047 and 97055?
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 97047 and 97055 is 9418896585.
LCM(97047,97055) = 9418896585
Least Common Multiple of 97047 and 97055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97047 and 97055, than apply into the LCM equation.
GCF(97047,97055) = 1
LCM(97047,97055) = ( 97047 × 97055) / 1
LCM(97047,97055) = 9418896585 / 1
LCM(97047,97055) = 9418896585
Least Common Multiple (LCM) of 97047 and 97055 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97047 and 97055. First we will calculate the prime factors of 97047 and 97055.
Prime Factorization of 97047
Prime factors of 97047 are 3, 41, 263. Prime factorization of 97047 in exponential form is:
97047 = 32 × 411 × 2631
Prime Factorization of 97055
Prime factors of 97055 are 5, 7, 47, 59. Prime factorization of 97055 in exponential form is:
97055 = 51 × 71 × 471 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 97047 and 97055.
LCM(97047,97055) = 32 × 411 × 2631 × 51 × 71 × 471 × 591
LCM(97047,97055) = 9418896585
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