What is the Least Common Multiple of 97447 and 97467?
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 97447 and 97467 is 9497866749.
LCM(97447,97467) = 9497866749
Least Common Multiple of 97447 and 97467 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97447 and 97467, than apply into the LCM equation.
GCF(97447,97467) = 1
LCM(97447,97467) = ( 97447 × 97467) / 1
LCM(97447,97467) = 9497866749 / 1
LCM(97447,97467) = 9497866749
Least Common Multiple (LCM) of 97447 and 97467 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 97447 and 97467. First we will calculate the prime factors of 97447 and 97467.
Prime Factorization of 97447
Prime factors of 97447 are 7, 13921. Prime factorization of 97447 in exponential form is:
97447 = 71 × 139211
Prime Factorization of 97467
Prime factors of 97467 are 3, 53, 613. Prime factorization of 97467 in exponential form is:
97467 = 31 × 531 × 6131
Now multiplying the highest exponent prime factors to calculate the LCM of 97447 and 97467.
LCM(97447,97467) = 71 × 139211 × 31 × 531 × 6131
LCM(97447,97467) = 9497866749
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