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What is the Least Common Multiple of 65762 and 65769?

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 65762 and 65769 is 4325100978.

LCM(65762,65769) = 4325100978

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Least Common Multiple of 65762 and 65769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65762 and 65769, than apply into the LCM equation.

GCF(65762,65769) = 1
LCM(65762,65769) = ( 65762 × 65769) / 1
LCM(65762,65769) = 4325100978 / 1
LCM(65762,65769) = 4325100978

Least Common Multiple (LCM) of 65762 and 65769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65762 and 65769. First we will calculate the prime factors of 65762 and 65769.

Prime Factorization of 65762

Prime factors of 65762 are 2, 131, 251. Prime factorization of 65762 in exponential form is:

65762 = 21 × 1311 × 2511

Prime Factorization of 65769

Prime factors of 65769 are 3, 11, 1993. Prime factorization of 65769 in exponential form is:

65769 = 31 × 111 × 19931

Now multiplying the highest exponent prime factors to calculate the LCM of 65762 and 65769.

LCM(65762,65769) = 21 × 1311 × 2511 × 31 × 111 × 19931
LCM(65762,65769) = 4325100978