What is the Least Common Multiple of 67010 and 67014?
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 67010 and 67014 is 2245304070.
LCM(67010,67014) = 2245304070
Least Common Multiple of 67010 and 67014 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67010 and 67014, than apply into the LCM equation.
GCF(67010,67014) = 2
LCM(67010,67014) = ( 67010 × 67014) / 2
LCM(67010,67014) = 4490608140 / 2
LCM(67010,67014) = 2245304070
Least Common Multiple (LCM) of 67010 and 67014 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67010 and 67014. First we will calculate the prime factors of 67010 and 67014.
Prime Factorization of 67010
Prime factors of 67010 are 2, 5, 6701. Prime factorization of 67010 in exponential form is:
67010 = 21 × 51 × 67011
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
Now multiplying the highest exponent prime factors to calculate the LCM of 67010 and 67014.
LCM(67010,67014) = 21 × 51 × 67011 × 33 × 171 × 731
LCM(67010,67014) = 2245304070
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