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What is the Least Common Multiple of 65628 and 65640?

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 65628 and 65640 is 358985160.

LCM(65628,65640) = 358985160

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Least Common Multiple of 65628 and 65640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65628 and 65640, than apply into the LCM equation.

GCF(65628,65640) = 12
LCM(65628,65640) = ( 65628 × 65640) / 12
LCM(65628,65640) = 4307821920 / 12
LCM(65628,65640) = 358985160

Least Common Multiple (LCM) of 65628 and 65640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65628 and 65640. First we will calculate the prime factors of 65628 and 65640.

Prime Factorization of 65628

Prime factors of 65628 are 2, 3, 1823. Prime factorization of 65628 in exponential form is:

65628 = 22 × 32 × 18231

Prime Factorization of 65640

Prime factors of 65640 are 2, 3, 5, 547. Prime factorization of 65640 in exponential form is:

65640 = 23 × 31 × 51 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 65628 and 65640.

LCM(65628,65640) = 23 × 32 × 18231 × 51 × 5471
LCM(65628,65640) = 358985160