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What is the Least Common Multiple of 67174 and 67185?

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 67174 and 67185 is 4513085190.

LCM(67174,67185) = 4513085190

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Least Common Multiple of 67174 and 67185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67174 and 67185, than apply into the LCM equation.

GCF(67174,67185) = 1
LCM(67174,67185) = ( 67174 × 67185) / 1
LCM(67174,67185) = 4513085190 / 1
LCM(67174,67185) = 4513085190

Least Common Multiple (LCM) of 67174 and 67185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67174 and 67185. First we will calculate the prime factors of 67174 and 67185.

Prime Factorization of 67174

Prime factors of 67174 are 2, 33587. Prime factorization of 67174 in exponential form is:

67174 = 21 × 335871

Prime Factorization of 67185

Prime factors of 67185 are 3, 5, 1493. Prime factorization of 67185 in exponential form is:

67185 = 32 × 51 × 14931

Now multiplying the highest exponent prime factors to calculate the LCM of 67174 and 67185.

LCM(67174,67185) = 21 × 335871 × 32 × 51 × 14931
LCM(67174,67185) = 4513085190