What is the Least Common Multiple of 64648 and 64665?
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 64648 and 64665 is 4180462920.
LCM(64648,64665) = 4180462920
Least Common Multiple of 64648 and 64665 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64648 and 64665, than apply into the LCM equation.
GCF(64648,64665) = 1
LCM(64648,64665) = ( 64648 × 64665) / 1
LCM(64648,64665) = 4180462920 / 1
LCM(64648,64665) = 4180462920
Least Common Multiple (LCM) of 64648 and 64665 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64648 and 64665. First we will calculate the prime factors of 64648 and 64665.
Prime Factorization of 64648
Prime factors of 64648 are 2, 8081. Prime factorization of 64648 in exponential form is:
64648 = 23 × 80811
Prime Factorization of 64665
Prime factors of 64665 are 3, 5, 479. Prime factorization of 64665 in exponential form is:
64665 = 33 × 51 × 4791
Now multiplying the highest exponent prime factors to calculate the LCM of 64648 and 64665.
LCM(64648,64665) = 23 × 80811 × 33 × 51 × 4791
LCM(64648,64665) = 4180462920
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