What is the Least Common Multiple of 67431 and 67438?
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 67431 and 67438 is 649630254.
LCM(67431,67438) = 649630254
Least Common Multiple of 67431 and 67438 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67431 and 67438, than apply into the LCM equation.
GCF(67431,67438) = 7
LCM(67431,67438) = ( 67431 × 67438) / 7
LCM(67431,67438) = 4547411778 / 7
LCM(67431,67438) = 649630254
Least Common Multiple (LCM) of 67431 and 67438 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67431 and 67438. First we will calculate the prime factors of 67431 and 67438.
Prime Factorization of 67431
Prime factors of 67431 are 3, 7, 13, 19. Prime factorization of 67431 in exponential form is:
67431 = 31 × 71 × 132 × 191
Prime Factorization of 67438
Prime factors of 67438 are 2, 7, 4817. Prime factorization of 67438 in exponential form is:
67438 = 21 × 71 × 48171
Now multiplying the highest exponent prime factors to calculate the LCM of 67431 and 67438.
LCM(67431,67438) = 31 × 71 × 132 × 191 × 21 × 48171
LCM(67431,67438) = 649630254
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