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What is the Least Common Multiple of 67076 and 67085?

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 67076 and 67085 is 4499793460.

LCM(67076,67085) = 4499793460

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Least Common Multiple of 67076 and 67085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67076 and 67085, than apply into the LCM equation.

GCF(67076,67085) = 1
LCM(67076,67085) = ( 67076 × 67085) / 1
LCM(67076,67085) = 4499793460 / 1
LCM(67076,67085) = 4499793460

Least Common Multiple (LCM) of 67076 and 67085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67076 and 67085. First we will calculate the prime factors of 67076 and 67085.

Prime Factorization of 67076

Prime factors of 67076 are 2, 41, 409. Prime factorization of 67076 in exponential form is:

67076 = 22 × 411 × 4091

Prime Factorization of 67085

Prime factors of 67085 are 5, 13417. Prime factorization of 67085 in exponential form is:

67085 = 51 × 134171

Now multiplying the highest exponent prime factors to calculate the LCM of 67076 and 67085.

LCM(67076,67085) = 22 × 411 × 4091 × 51 × 134171
LCM(67076,67085) = 4499793460