What is the Least Common Multiple of 64933 and 64943?
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 64933 and 64943 is 4216943819.
LCM(64933,64943) = 4216943819
Least Common Multiple of 64933 and 64943 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64933 and 64943, than apply into the LCM equation.
GCF(64933,64943) = 1
LCM(64933,64943) = ( 64933 × 64943) / 1
LCM(64933,64943) = 4216943819 / 1
LCM(64933,64943) = 4216943819
Least Common Multiple (LCM) of 64933 and 64943 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64933 and 64943. First we will calculate the prime factors of 64933 and 64943.
Prime Factorization of 64933
Prime factors of 64933 are 11, 5903. Prime factorization of 64933 in exponential form is:
64933 = 111 × 59031
Prime Factorization of 64943
Prime factors of 64943 are 101, 643. Prime factorization of 64943 in exponential form is:
64943 = 1011 × 6431
Now multiplying the highest exponent prime factors to calculate the LCM of 64933 and 64943.
LCM(64933,64943) = 111 × 59031 × 1011 × 6431
LCM(64933,64943) = 4216943819
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