What is the Least Common Multiple of 64195 and 64202?
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 64195 and 64202 is 4121447390.
LCM(64195,64202) = 4121447390
Least Common Multiple of 64195 and 64202 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64195 and 64202, than apply into the LCM equation.
GCF(64195,64202) = 1
LCM(64195,64202) = ( 64195 × 64202) / 1
LCM(64195,64202) = 4121447390 / 1
LCM(64195,64202) = 4121447390
Least Common Multiple (LCM) of 64195 and 64202 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64195 and 64202. First we will calculate the prime factors of 64195 and 64202.
Prime Factorization of 64195
Prime factors of 64195 are 5, 37, 347. Prime factorization of 64195 in exponential form is:
64195 = 51 × 371 × 3471
Prime Factorization of 64202
Prime factors of 64202 are 2, 47, 683. Prime factorization of 64202 in exponential form is:
64202 = 21 × 471 × 6831
Now multiplying the highest exponent prime factors to calculate the LCM of 64195 and 64202.
LCM(64195,64202) = 51 × 371 × 3471 × 21 × 471 × 6831
LCM(64195,64202) = 4121447390
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