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What is the Least Common Multiple of 67148 and 67165?

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 67148 and 67165 is 4509995420.

LCM(67148,67165) = 4509995420

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Least Common Multiple of 67148 and 67165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67148 and 67165, than apply into the LCM equation.

GCF(67148,67165) = 1
LCM(67148,67165) = ( 67148 × 67165) / 1
LCM(67148,67165) = 4509995420 / 1
LCM(67148,67165) = 4509995420

Least Common Multiple (LCM) of 67148 and 67165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67148 and 67165. First we will calculate the prime factors of 67148 and 67165.

Prime Factorization of 67148

Prime factors of 67148 are 2, 16787. Prime factorization of 67148 in exponential form is:

67148 = 22 × 167871

Prime Factorization of 67165

Prime factors of 67165 are 5, 7, 19, 101. Prime factorization of 67165 in exponential form is:

67165 = 51 × 71 × 191 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 67148 and 67165.

LCM(67148,67165) = 22 × 167871 × 51 × 71 × 191 × 1011
LCM(67148,67165) = 4509995420