What is the Least Common Multiple of 65381 and 65390?
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 65381 and 65390 is 4275263590.
LCM(65381,65390) = 4275263590
Least Common Multiple of 65381 and 65390 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65381 and 65390, than apply into the LCM equation.
GCF(65381,65390) = 1
LCM(65381,65390) = ( 65381 × 65390) / 1
LCM(65381,65390) = 4275263590 / 1
LCM(65381,65390) = 4275263590
Least Common Multiple (LCM) of 65381 and 65390 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65381 and 65390. First we will calculate the prime factors of 65381 and 65390.
Prime Factorization of 65381
Prime factors of 65381 are 65381. Prime factorization of 65381 in exponential form is:
65381 = 653811
Prime Factorization of 65390
Prime factors of 65390 are 2, 5, 13, 503. Prime factorization of 65390 in exponential form is:
65390 = 21 × 51 × 131 × 5031
Now multiplying the highest exponent prime factors to calculate the LCM of 65381 and 65390.
LCM(65381,65390) = 653811 × 21 × 51 × 131 × 5031
LCM(65381,65390) = 4275263590
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