What is the Least Common Multiple of 64915 and 64929?
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 64915 and 64929 is 4214866035.
LCM(64915,64929) = 4214866035
Least Common Multiple of 64915 and 64929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64915 and 64929, than apply into the LCM equation.
GCF(64915,64929) = 1
LCM(64915,64929) = ( 64915 × 64929) / 1
LCM(64915,64929) = 4214866035 / 1
LCM(64915,64929) = 4214866035
Least Common Multiple (LCM) of 64915 and 64929 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64915 and 64929. First we will calculate the prime factors of 64915 and 64929.
Prime Factorization of 64915
Prime factors of 64915 are 5, 12983. Prime factorization of 64915 in exponential form is:
64915 = 51 × 129831
Prime Factorization of 64929
Prime factors of 64929 are 3, 23, 941. Prime factorization of 64929 in exponential form is:
64929 = 31 × 231 × 9411
Now multiplying the highest exponent prime factors to calculate the LCM of 64915 and 64929.
LCM(64915,64929) = 51 × 129831 × 31 × 231 × 9411
LCM(64915,64929) = 4214866035
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