What is the Least Common Multiple of 67328 and 67348?
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 67328 and 67348 is 1133601536.
LCM(67328,67348) = 1133601536
Least Common Multiple of 67328 and 67348 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67328 and 67348, than apply into the LCM equation.
GCF(67328,67348) = 4
LCM(67328,67348) = ( 67328 × 67348) / 4
LCM(67328,67348) = 4534406144 / 4
LCM(67328,67348) = 1133601536
Least Common Multiple (LCM) of 67328 and 67348 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67328 and 67348. First we will calculate the prime factors of 67328 and 67348.
Prime Factorization of 67328
Prime factors of 67328 are 2, 263. Prime factorization of 67328 in exponential form is:
67328 = 28 × 2631
Prime Factorization of 67348
Prime factors of 67348 are 2, 113, 149. Prime factorization of 67348 in exponential form is:
67348 = 22 × 1131 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 67328 and 67348.
LCM(67328,67348) = 28 × 2631 × 1131 × 1491
LCM(67328,67348) = 1133601536
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