What is the Least Common Multiple of 64935 and 64939?
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 64935 and 64939 is 4216813965.
LCM(64935,64939) = 4216813965
Least Common Multiple of 64935 and 64939 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64935 and 64939, than apply into the LCM equation.
GCF(64935,64939) = 1
LCM(64935,64939) = ( 64935 × 64939) / 1
LCM(64935,64939) = 4216813965 / 1
LCM(64935,64939) = 4216813965
Least Common Multiple (LCM) of 64935 and 64939 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64935 and 64939. First we will calculate the prime factors of 64935 and 64939.
Prime Factorization of 64935
Prime factors of 64935 are 3, 5, 13, 37. Prime factorization of 64935 in exponential form is:
64935 = 33 × 51 × 131 × 371
Prime Factorization of 64939
Prime factors of 64939 are 7, 9277. Prime factorization of 64939 in exponential form is:
64939 = 71 × 92771
Now multiplying the highest exponent prime factors to calculate the LCM of 64935 and 64939.
LCM(64935,64939) = 33 × 51 × 131 × 371 × 71 × 92771
LCM(64935,64939) = 4216813965
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