What is the Least Common Multiple of 64902 and 64915?
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 64902 and 64915 is 4213113330.
LCM(64902,64915) = 4213113330
Least Common Multiple of 64902 and 64915 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64902 and 64915, than apply into the LCM equation.
GCF(64902,64915) = 1
LCM(64902,64915) = ( 64902 × 64915) / 1
LCM(64902,64915) = 4213113330 / 1
LCM(64902,64915) = 4213113330
Least Common Multiple (LCM) of 64902 and 64915 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64902 and 64915. First we will calculate the prime factors of 64902 and 64915.
Prime Factorization of 64902
Prime factors of 64902 are 2, 3, 29, 373. Prime factorization of 64902 in exponential form is:
64902 = 21 × 31 × 291 × 3731
Prime Factorization of 64915
Prime factors of 64915 are 5, 12983. Prime factorization of 64915 in exponential form is:
64915 = 51 × 129831
Now multiplying the highest exponent prime factors to calculate the LCM of 64902 and 64915.
LCM(64902,64915) = 21 × 31 × 291 × 3731 × 51 × 129831
LCM(64902,64915) = 4213113330
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