What is the Least Common Multiple of 70255 and 70264?
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 70255 and 70264 is 4936397320.
LCM(70255,70264) = 4936397320
Least Common Multiple of 70255 and 70264 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70255 and 70264, than apply into the LCM equation.
GCF(70255,70264) = 1
LCM(70255,70264) = ( 70255 × 70264) / 1
LCM(70255,70264) = 4936397320 / 1
LCM(70255,70264) = 4936397320
Least Common Multiple (LCM) of 70255 and 70264 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70255 and 70264. First we will calculate the prime factors of 70255 and 70264.
Prime Factorization of 70255
Prime factors of 70255 are 5, 14051. Prime factorization of 70255 in exponential form is:
70255 = 51 × 140511
Prime Factorization of 70264
Prime factors of 70264 are 2, 8783. Prime factorization of 70264 in exponential form is:
70264 = 23 × 87831
Now multiplying the highest exponent prime factors to calculate the LCM of 70255 and 70264.
LCM(70255,70264) = 51 × 140511 × 23 × 87831
LCM(70255,70264) = 4936397320
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