What is the Least Common Multiple of 64030 and 64043?
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 64030 and 64043 is 4100673290.
LCM(64030,64043) = 4100673290
Least Common Multiple of 64030 and 64043 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64030 and 64043, than apply into the LCM equation.
GCF(64030,64043) = 1
LCM(64030,64043) = ( 64030 × 64043) / 1
LCM(64030,64043) = 4100673290 / 1
LCM(64030,64043) = 4100673290
Least Common Multiple (LCM) of 64030 and 64043 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64030 and 64043. First we will calculate the prime factors of 64030 and 64043.
Prime Factorization of 64030
Prime factors of 64030 are 2, 5, 19, 337. Prime factorization of 64030 in exponential form is:
64030 = 21 × 51 × 191 × 3371
Prime Factorization of 64043
Prime factors of 64043 are 7, 1307. Prime factorization of 64043 in exponential form is:
64043 = 72 × 13071
Now multiplying the highest exponent prime factors to calculate the LCM of 64030 and 64043.
LCM(64030,64043) = 21 × 51 × 191 × 3371 × 72 × 13071
LCM(64030,64043) = 4100673290
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