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What is the Least Common Multiple of 65753 and 65766?

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 65753 and 65766 is 4324311798.

LCM(65753,65766) = 4324311798

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Least Common Multiple of 65753 and 65766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65753 and 65766, than apply into the LCM equation.

GCF(65753,65766) = 1
LCM(65753,65766) = ( 65753 × 65766) / 1
LCM(65753,65766) = 4324311798 / 1
LCM(65753,65766) = 4324311798

Least Common Multiple (LCM) of 65753 and 65766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65753 and 65766. First we will calculate the prime factors of 65753 and 65766.

Prime Factorization of 65753

Prime factors of 65753 are 47, 1399. Prime factorization of 65753 in exponential form is:

65753 = 471 × 13991

Prime Factorization of 65766

Prime factors of 65766 are 2, 3, 97, 113. Prime factorization of 65766 in exponential form is:

65766 = 21 × 31 × 971 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 65753 and 65766.

LCM(65753,65766) = 471 × 13991 × 21 × 31 × 971 × 1131
LCM(65753,65766) = 4324311798