What is the Least Common Multiple of 64426 and 64430?
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 64426 and 64430 is 2075483590.
LCM(64426,64430) = 2075483590
Least Common Multiple of 64426 and 64430 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64426 and 64430, than apply into the LCM equation.
GCF(64426,64430) = 2
LCM(64426,64430) = ( 64426 × 64430) / 2
LCM(64426,64430) = 4150967180 / 2
LCM(64426,64430) = 2075483590
Least Common Multiple (LCM) of 64426 and 64430 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64426 and 64430. First we will calculate the prime factors of 64426 and 64430.
Prime Factorization of 64426
Prime factors of 64426 are 2, 32213. Prime factorization of 64426 in exponential form is:
64426 = 21 × 322131
Prime Factorization of 64430
Prime factors of 64430 are 2, 5, 17, 379. Prime factorization of 64430 in exponential form is:
64430 = 21 × 51 × 171 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 64426 and 64430.
LCM(64426,64430) = 21 × 322131 × 51 × 171 × 3791
LCM(64426,64430) = 2075483590
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