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What is the Least Common Multiple of 67014 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 67014 and 67024 is 2245773168.

LCM(67014,67024) = 2245773168

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Least Common Multiple of 67014 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 67014 and 67024, than apply into the LCM equation.

GCF(67014,67024) = 2
LCM(67014,67024) = ( 67014 × 67024) / 2
LCM(67014,67024) = 4491546336 / 2
LCM(67014,67024) = 2245773168

Least Common Multiple (LCM) of 67014 and 67024 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67014 and 67024. First we will calculate the prime factors of 67014 and 67024.

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 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 67014 and 67024.

LCM(67014,67024) = 24 × 33 × 171 × 731 × 591 × 711
LCM(67014,67024) = 2245773168