What is the Least Common Multiple of 64865 and 64878?
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 64865 and 64878 is 4208311470.
LCM(64865,64878) = 4208311470
Least Common Multiple of 64865 and 64878 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64865 and 64878, than apply into the LCM equation.
GCF(64865,64878) = 1
LCM(64865,64878) = ( 64865 × 64878) / 1
LCM(64865,64878) = 4208311470 / 1
LCM(64865,64878) = 4208311470
Least Common Multiple (LCM) of 64865 and 64878 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64865 and 64878. First we will calculate the prime factors of 64865 and 64878.
Prime Factorization of 64865
Prime factors of 64865 are 5, 12973. Prime factorization of 64865 in exponential form is:
64865 = 51 × 129731
Prime Factorization of 64878
Prime factors of 64878 are 2, 3, 11, 983. Prime factorization of 64878 in exponential form is:
64878 = 21 × 31 × 111 × 9831
Now multiplying the highest exponent prime factors to calculate the LCM of 64865 and 64878.
LCM(64865,64878) = 51 × 129731 × 21 × 31 × 111 × 9831
LCM(64865,64878) = 4208311470
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