What is the Least Common Multiple of 34472 and 34484?
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 34472 and 34484 is 297183112.
LCM(34472,34484) = 297183112
Least Common Multiple of 34472 and 34484 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34472 and 34484, than apply into the LCM equation.
GCF(34472,34484) = 4
LCM(34472,34484) = ( 34472 × 34484) / 4
LCM(34472,34484) = 1188732448 / 4
LCM(34472,34484) = 297183112
Least Common Multiple (LCM) of 34472 and 34484 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 34472 and 34484. First we will calculate the prime factors of 34472 and 34484.
Prime Factorization of 34472
Prime factors of 34472 are 2, 31, 139. Prime factorization of 34472 in exponential form is:
34472 = 23 × 311 × 1391
Prime Factorization of 34484
Prime factors of 34484 are 2, 37, 233. Prime factorization of 34484 in exponential form is:
34484 = 22 × 371 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 34472 and 34484.
LCM(34472,34484) = 23 × 311 × 1391 × 371 × 2331
LCM(34472,34484) = 297183112
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