What is the Least Common Multiple of 36425 and 36431?
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 36425 and 36431 is 1326999175.
LCM(36425,36431) = 1326999175
Least Common Multiple of 36425 and 36431 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36425 and 36431, than apply into the LCM equation.
GCF(36425,36431) = 1
LCM(36425,36431) = ( 36425 × 36431) / 1
LCM(36425,36431) = 1326999175 / 1
LCM(36425,36431) = 1326999175
Least Common Multiple (LCM) of 36425 and 36431 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36425 and 36431. First we will calculate the prime factors of 36425 and 36431.
Prime Factorization of 36425
Prime factors of 36425 are 5, 31, 47. Prime factorization of 36425 in exponential form is:
36425 = 52 × 311 × 471
Prime Factorization of 36431
Prime factors of 36431 are 17, 2143. Prime factorization of 36431 in exponential form is:
36431 = 171 × 21431
Now multiplying the highest exponent prime factors to calculate the LCM of 36425 and 36431.
LCM(36425,36431) = 52 × 311 × 471 × 171 × 21431
LCM(36425,36431) = 1326999175
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