What is the Least Common Multiple of 68638 and 68644?
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 68638 and 68644 is 2355793436.
LCM(68638,68644) = 2355793436
Least Common Multiple of 68638 and 68644 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68638 and 68644, than apply into the LCM equation.
GCF(68638,68644) = 2
LCM(68638,68644) = ( 68638 × 68644) / 2
LCM(68638,68644) = 4711586872 / 2
LCM(68638,68644) = 2355793436
Least Common Multiple (LCM) of 68638 and 68644 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68638 and 68644. First we will calculate the prime factors of 68638 and 68644.
Prime Factorization of 68638
Prime factors of 68638 are 2, 34319. Prime factorization of 68638 in exponential form is:
68638 = 21 × 343191
Prime Factorization of 68644
Prime factors of 68644 are 2, 131. Prime factorization of 68644 in exponential form is:
68644 = 22 × 1312
Now multiplying the highest exponent prime factors to calculate the LCM of 68638 and 68644.
LCM(68638,68644) = 22 × 343191 × 1312
LCM(68638,68644) = 2355793436
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