What is the Least Common Multiple of 64398 and 64416?
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 64416 is 691376928.
LCM(64398,64416) = 691376928
Least Common Multiple of 64398 and 64416 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 64416, than apply into the LCM equation.
GCF(64398,64416) = 6
LCM(64398,64416) = ( 64398 × 64416) / 6
LCM(64398,64416) = 4148261568 / 6
LCM(64398,64416) = 691376928
Least Common Multiple (LCM) of 64398 and 64416 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64398 and 64416. First we will calculate the prime factors of 64398 and 64416.
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 64416
Prime factors of 64416 are 2, 3, 11, 61. Prime factorization of 64416 in exponential form is:
64416 = 25 × 31 × 111 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 64398 and 64416.
LCM(64398,64416) = 25 × 31 × 107331 × 111 × 611
LCM(64398,64416) = 691376928
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