What is the Least Common Multiple of 64398 and 64408?
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 64398 and 64408 is 2073873192.
LCM(64398,64408) = 2073873192
Least Common Multiple of 64398 and 64408 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64398 and 64408, than apply into the LCM equation.
GCF(64398,64408) = 2
LCM(64398,64408) = ( 64398 × 64408) / 2
LCM(64398,64408) = 4147746384 / 2
LCM(64398,64408) = 2073873192
Least Common Multiple (LCM) of 64398 and 64408 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64398 and 64408. First we will calculate the prime factors of 64398 and 64408.
Prime Factorization of 64398
Prime factors of 64398 are 2, 3, 10733. Prime factorization of 64398 in exponential form is:
64398 = 21 × 31 × 107331
Prime Factorization of 64408
Prime factors of 64408 are 2, 83, 97. Prime factorization of 64408 in exponential form is:
64408 = 23 × 831 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 64398 and 64408.
LCM(64398,64408) = 23 × 31 × 107331 × 831 × 971
LCM(64398,64408) = 2073873192
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