What is the Least Common Multiple of 67014 and 67025?
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 67014 and 67025 is 4491613350.
LCM(67014,67025) = 4491613350
Least Common Multiple of 67014 and 67025 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67014 and 67025, than apply into the LCM equation.
GCF(67014,67025) = 1
LCM(67014,67025) = ( 67014 × 67025) / 1
LCM(67014,67025) = 4491613350 / 1
LCM(67014,67025) = 4491613350
Least Common Multiple (LCM) of 67014 and 67025 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67014 and 67025. First we will calculate the prime factors of 67014 and 67025.
Prime Factorization of 67014
Prime factors of 67014 are 2, 3, 17, 73. Prime factorization of 67014 in exponential form is:
67014 = 21 × 33 × 171 × 731
Prime Factorization of 67025
Prime factors of 67025 are 5, 7, 383. Prime factorization of 67025 in exponential form is:
67025 = 52 × 71 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 67014 and 67025.
LCM(67014,67025) = 21 × 33 × 171 × 731 × 52 × 71 × 3831
LCM(67014,67025) = 4491613350
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