What is the Least Common Multiple of 68123 and 68134?
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 68123 and 68134 is 421953862.
LCM(68123,68134) = 421953862
Least Common Multiple of 68123 and 68134 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68123 and 68134, than apply into the LCM equation.
GCF(68123,68134) = 11
LCM(68123,68134) = ( 68123 × 68134) / 11
LCM(68123,68134) = 4641492482 / 11
LCM(68123,68134) = 421953862
Least Common Multiple (LCM) of 68123 and 68134 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68123 and 68134. First we will calculate the prime factors of 68123 and 68134.
Prime Factorization of 68123
Prime factors of 68123 are 11, 563. Prime factorization of 68123 in exponential form is:
68123 = 112 × 5631
Prime Factorization of 68134
Prime factors of 68134 are 2, 11, 19, 163. Prime factorization of 68134 in exponential form is:
68134 = 21 × 111 × 191 × 1631
Now multiplying the highest exponent prime factors to calculate the LCM of 68123 and 68134.
LCM(68123,68134) = 112 × 5631 × 21 × 191 × 1631
LCM(68123,68134) = 421953862
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