What is the Least Common Multiple of 67010 and 67024?
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 67024 is 2245639120.
LCM(67010,67024) = 2245639120
Least Common Multiple of 67010 and 67024 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 67024, than apply into the LCM equation.
GCF(67010,67024) = 2
LCM(67010,67024) = ( 67010 × 67024) / 2
LCM(67010,67024) = 4491278240 / 2
LCM(67010,67024) = 2245639120
Least Common Multiple (LCM) of 67010 and 67024 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67010 and 67024. First we will calculate the prime factors of 67010 and 67024.
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 67024
Prime factors of 67024 are 2, 59, 71. Prime factorization of 67024 in exponential form is:
67024 = 24 × 591 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 67010 and 67024.
LCM(67010,67024) = 24 × 51 × 67011 × 591 × 711
LCM(67010,67024) = 2245639120
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