What is the Least Common Multiple of 64829 and 64838?
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 64829 and 64838 is 4203382702.
LCM(64829,64838) = 4203382702
Least Common Multiple of 64829 and 64838 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64829 and 64838, than apply into the LCM equation.
GCF(64829,64838) = 1
LCM(64829,64838) = ( 64829 × 64838) / 1
LCM(64829,64838) = 4203382702 / 1
LCM(64829,64838) = 4203382702
Least Common Multiple (LCM) of 64829 and 64838 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64829 and 64838. First we will calculate the prime factors of 64829 and 64838.
Prime Factorization of 64829
Prime factors of 64829 are 241, 269. Prime factorization of 64829 in exponential form is:
64829 = 2411 × 2691
Prime Factorization of 64838
Prime factors of 64838 are 2, 17, 1907. Prime factorization of 64838 in exponential form is:
64838 = 21 × 171 × 19071
Now multiplying the highest exponent prime factors to calculate the LCM of 64829 and 64838.
LCM(64829,64838) = 2411 × 2691 × 21 × 171 × 19071
LCM(64829,64838) = 4203382702
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