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What is the Least Common Multiple of 3078 and 3085?

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 3078 and 3085 is 9495630.

LCM(3078,3085) = 9495630

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Least Common Multiple of 3078 and 3085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3078 and 3085, than apply into the LCM equation.

GCF(3078,3085) = 1
LCM(3078,3085) = ( 3078 × 3085) / 1
LCM(3078,3085) = 9495630 / 1
LCM(3078,3085) = 9495630

Least Common Multiple (LCM) of 3078 and 3085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3078 and 3085. First we will calculate the prime factors of 3078 and 3085.

Prime Factorization of 3078

Prime factors of 3078 are 2, 3, 19. Prime factorization of 3078 in exponential form is:

3078 = 21 × 34 × 191

Prime Factorization of 3085

Prime factors of 3085 are 5, 617. Prime factorization of 3085 in exponential form is:

3085 = 51 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 3078 and 3085.

LCM(3078,3085) = 21 × 34 × 191 × 51 × 6171
LCM(3078,3085) = 9495630