What is the Least Common Multiple of 67348 and 67368?
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 67348 and 67368 is 1134275016.
LCM(67348,67368) = 1134275016
Least Common Multiple of 67348 and 67368 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67348 and 67368, than apply into the LCM equation.
GCF(67348,67368) = 4
LCM(67348,67368) = ( 67348 × 67368) / 4
LCM(67348,67368) = 4537100064 / 4
LCM(67348,67368) = 1134275016
Least Common Multiple (LCM) of 67348 and 67368 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67348 and 67368. First we will calculate the prime factors of 67348 and 67368.
Prime Factorization of 67348
Prime factors of 67348 are 2, 113, 149. Prime factorization of 67348 in exponential form is:
67348 = 22 × 1131 × 1491
Prime Factorization of 67368
Prime factors of 67368 are 2, 3, 7, 401. Prime factorization of 67368 in exponential form is:
67368 = 23 × 31 × 71 × 4011
Now multiplying the highest exponent prime factors to calculate the LCM of 67348 and 67368.
LCM(67348,67368) = 23 × 1131 × 1491 × 31 × 71 × 4011
LCM(67348,67368) = 1134275016
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