What is the Least Common Multiple of 70417 and 70427?
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 70417 and 70427 is 4959258059.
LCM(70417,70427) = 4959258059
Least Common Multiple of 70417 and 70427 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70417 and 70427, than apply into the LCM equation.
GCF(70417,70427) = 1
LCM(70417,70427) = ( 70417 × 70427) / 1
LCM(70417,70427) = 4959258059 / 1
LCM(70417,70427) = 4959258059
Least Common Multiple (LCM) of 70417 and 70427 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70417 and 70427. First we will calculate the prime factors of 70417 and 70427.
Prime Factorization of 70417
Prime factors of 70417 are 67, 1051. Prime factorization of 70417 in exponential form is:
70417 = 671 × 10511
Prime Factorization of 70427
Prime factors of 70427 are 7, 10061. Prime factorization of 70427 in exponential form is:
70427 = 71 × 100611
Now multiplying the highest exponent prime factors to calculate the LCM of 70417 and 70427.
LCM(70417,70427) = 671 × 10511 × 71 × 100611
LCM(70417,70427) = 4959258059
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