What is the Least Common Multiple of 97154 and 97159?
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 97154 and 97159 is 9439385486.
LCM(97154,97159) = 9439385486
Least Common Multiple of 97154 and 97159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97154 and 97159, than apply into the LCM equation.
GCF(97154,97159) = 1
LCM(97154,97159) = ( 97154 × 97159) / 1
LCM(97154,97159) = 9439385486 / 1
LCM(97154,97159) = 9439385486
Least Common Multiple (LCM) of 97154 and 97159 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97154 and 97159. First we will calculate the prime factors of 97154 and 97159.
Prime Factorization of 97154
Prime factors of 97154 are 2, 31, 1567. Prime factorization of 97154 in exponential form is:
97154 = 21 × 311 × 15671
Prime Factorization of 97159
Prime factors of 97159 are 97159. Prime factorization of 97159 in exponential form is:
97159 = 971591
Now multiplying the highest exponent prime factors to calculate the LCM of 97154 and 97159.
LCM(97154,97159) = 21 × 311 × 15671 × 971591
LCM(97154,97159) = 9439385486
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