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What is the Least Common Multiple of 65074 and 65080?

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 65074 and 65080 is 2117507960.

LCM(65074,65080) = 2117507960

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Least Common Multiple of 65074 and 65080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65074 and 65080, than apply into the LCM equation.

GCF(65074,65080) = 2
LCM(65074,65080) = ( 65074 × 65080) / 2
LCM(65074,65080) = 4235015920 / 2
LCM(65074,65080) = 2117507960

Least Common Multiple (LCM) of 65074 and 65080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65074 and 65080. First we will calculate the prime factors of 65074 and 65080.

Prime Factorization of 65074

Prime factors of 65074 are 2, 32537. Prime factorization of 65074 in exponential form is:

65074 = 21 × 325371

Prime Factorization of 65080

Prime factors of 65080 are 2, 5, 1627. Prime factorization of 65080 in exponential form is:

65080 = 23 × 51 × 16271

Now multiplying the highest exponent prime factors to calculate the LCM of 65074 and 65080.

LCM(65074,65080) = 23 × 325371 × 51 × 16271
LCM(65074,65080) = 2117507960