What is the Least Common Multiple of 75245 and 75257?
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 75245 and 75257 is 5662712965.
LCM(75245,75257) = 5662712965
Least Common Multiple of 75245 and 75257 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75245 and 75257, than apply into the LCM equation.
GCF(75245,75257) = 1
LCM(75245,75257) = ( 75245 × 75257) / 1
LCM(75245,75257) = 5662712965 / 1
LCM(75245,75257) = 5662712965
Least Common Multiple (LCM) of 75245 and 75257 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 75245 and 75257. First we will calculate the prime factors of 75245 and 75257.
Prime Factorization of 75245
Prime factors of 75245 are 5, 101, 149. Prime factorization of 75245 in exponential form is:
75245 = 51 × 1011 × 1491
Prime Factorization of 75257
Prime factors of 75257 are 7, 13, 827. Prime factorization of 75257 in exponential form is:
75257 = 71 × 131 × 8271
Now multiplying the highest exponent prime factors to calculate the LCM of 75245 and 75257.
LCM(75245,75257) = 51 × 1011 × 1491 × 71 × 131 × 8271
LCM(75245,75257) = 5662712965
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