What is the Least Common Multiple of 68632 and 68649?
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 68632 and 68649 is 4711518168.
LCM(68632,68649) = 4711518168
Least Common Multiple of 68632 and 68649 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68632 and 68649, than apply into the LCM equation.
GCF(68632,68649) = 1
LCM(68632,68649) = ( 68632 × 68649) / 1
LCM(68632,68649) = 4711518168 / 1
LCM(68632,68649) = 4711518168
Least Common Multiple (LCM) of 68632 and 68649 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68632 and 68649. First we will calculate the prime factors of 68632 and 68649.
Prime Factorization of 68632
Prime factors of 68632 are 2, 23, 373. Prime factorization of 68632 in exponential form is:
68632 = 23 × 231 × 3731
Prime Factorization of 68649
Prime factors of 68649 are 3, 7, 467. Prime factorization of 68649 in exponential form is:
68649 = 31 × 72 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 68632 and 68649.
LCM(68632,68649) = 23 × 231 × 3731 × 31 × 72 × 4671
LCM(68632,68649) = 4711518168
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