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What is the Least Common Multiple of 65372 and 65382?

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 65372 and 65382 is 2137076052.

LCM(65372,65382) = 2137076052

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Least Common Multiple of 65372 and 65382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65372 and 65382, than apply into the LCM equation.

GCF(65372,65382) = 2
LCM(65372,65382) = ( 65372 × 65382) / 2
LCM(65372,65382) = 4274152104 / 2
LCM(65372,65382) = 2137076052

Least Common Multiple (LCM) of 65372 and 65382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65372 and 65382. First we will calculate the prime factors of 65372 and 65382.

Prime Factorization of 65372

Prime factors of 65372 are 2, 59, 277. Prime factorization of 65372 in exponential form is:

65372 = 22 × 591 × 2771

Prime Factorization of 65382

Prime factors of 65382 are 2, 3, 17, 641. Prime factorization of 65382 in exponential form is:

65382 = 21 × 31 × 171 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 65372 and 65382.

LCM(65372,65382) = 22 × 591 × 2771 × 31 × 171 × 6411
LCM(65372,65382) = 2137076052