What is the Least Common Multiple of 67430 and 67445?
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 67430 and 67445 is 909563270.
LCM(67430,67445) = 909563270
Least Common Multiple of 67430 and 67445 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67430 and 67445, than apply into the LCM equation.
GCF(67430,67445) = 5
LCM(67430,67445) = ( 67430 × 67445) / 5
LCM(67430,67445) = 4547816350 / 5
LCM(67430,67445) = 909563270
Least Common Multiple (LCM) of 67430 and 67445 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67430 and 67445. First we will calculate the prime factors of 67430 and 67445.
Prime Factorization of 67430
Prime factors of 67430 are 2, 5, 11, 613. Prime factorization of 67430 in exponential form is:
67430 = 21 × 51 × 111 × 6131
Prime Factorization of 67445
Prime factors of 67445 are 5, 7, 41, 47. Prime factorization of 67445 in exponential form is:
67445 = 51 × 71 × 411 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 67430 and 67445.
LCM(67430,67445) = 21 × 51 × 111 × 6131 × 71 × 411 × 471
LCM(67430,67445) = 909563270
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