What is the Least Common Multiple of 68628 and 68642?
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 68628 and 68642 is 336483084.
LCM(68628,68642) = 336483084
Least Common Multiple of 68628 and 68642 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68628 and 68642, than apply into the LCM equation.
GCF(68628,68642) = 14
LCM(68628,68642) = ( 68628 × 68642) / 14
LCM(68628,68642) = 4710763176 / 14
LCM(68628,68642) = 336483084
Least Common Multiple (LCM) of 68628 and 68642 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68628 and 68642. First we will calculate the prime factors of 68628 and 68642.
Prime Factorization of 68628
Prime factors of 68628 are 2, 3, 7, 19, 43. Prime factorization of 68628 in exponential form is:
68628 = 22 × 31 × 71 × 191 × 431
Prime Factorization of 68642
Prime factors of 68642 are 2, 7, 4903. Prime factorization of 68642 in exponential form is:
68642 = 21 × 71 × 49031
Now multiplying the highest exponent prime factors to calculate the LCM of 68628 and 68642.
LCM(68628,68642) = 22 × 31 × 71 × 191 × 431 × 49031
LCM(68628,68642) = 336483084
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