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What is the Least Common Multiple of 65802 and 65820?

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 65802 and 65820 is 721847940.

LCM(65802,65820) = 721847940

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Least Common Multiple of 65802 and 65820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65802 and 65820, than apply into the LCM equation.

GCF(65802,65820) = 6
LCM(65802,65820) = ( 65802 × 65820) / 6
LCM(65802,65820) = 4331087640 / 6
LCM(65802,65820) = 721847940

Least Common Multiple (LCM) of 65802 and 65820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65802 and 65820. First we will calculate the prime factors of 65802 and 65820.

Prime Factorization of 65802

Prime factors of 65802 are 2, 3, 11, 997. Prime factorization of 65802 in exponential form is:

65802 = 21 × 31 × 111 × 9971

Prime Factorization of 65820

Prime factors of 65820 are 2, 3, 5, 1097. Prime factorization of 65820 in exponential form is:

65820 = 22 × 31 × 51 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 65802 and 65820.

LCM(65802,65820) = 22 × 31 × 111 × 9971 × 51 × 10971
LCM(65802,65820) = 721847940