What is the Least Common Multiple of 64366 and 64385?
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 64366 and 64385 is 4144204910.
LCM(64366,64385) = 4144204910
Least Common Multiple of 64366 and 64385 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64366 and 64385, than apply into the LCM equation.
GCF(64366,64385) = 1
LCM(64366,64385) = ( 64366 × 64385) / 1
LCM(64366,64385) = 4144204910 / 1
LCM(64366,64385) = 4144204910
Least Common Multiple (LCM) of 64366 and 64385 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64366 and 64385. First we will calculate the prime factors of 64366 and 64385.
Prime Factorization of 64366
Prime factors of 64366 are 2, 32183. Prime factorization of 64366 in exponential form is:
64366 = 21 × 321831
Prime Factorization of 64385
Prime factors of 64385 are 5, 79, 163. Prime factorization of 64385 in exponential form is:
64385 = 51 × 791 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 64366 and 64385.
LCM(64366,64385) = 21 × 321831 × 51 × 791 × 1631
LCM(64366,64385) = 4144204910
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