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What is the Least Common Multiple of 68176 and 68185?

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 68176 and 68185 is 4648580560.

LCM(68176,68185) = 4648580560

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Least Common Multiple of 68176 and 68185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68176 and 68185, than apply into the LCM equation.

GCF(68176,68185) = 1
LCM(68176,68185) = ( 68176 × 68185) / 1
LCM(68176,68185) = 4648580560 / 1
LCM(68176,68185) = 4648580560

Least Common Multiple (LCM) of 68176 and 68185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68176 and 68185. First we will calculate the prime factors of 68176 and 68185.

Prime Factorization of 68176

Prime factors of 68176 are 2, 4261. Prime factorization of 68176 in exponential form is:

68176 = 24 × 42611

Prime Factorization of 68185

Prime factors of 68185 are 5, 13, 1049. Prime factorization of 68185 in exponential form is:

68185 = 51 × 131 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 68176 and 68185.

LCM(68176,68185) = 24 × 42611 × 51 × 131 × 10491
LCM(68176,68185) = 4648580560