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What is the Least Common Multiple of 7802 and 7820?

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 7802 and 7820 is 30505820.

LCM(7802,7820) = 30505820

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Least Common Multiple of 7802 and 7820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7802 and 7820, than apply into the LCM equation.

GCF(7802,7820) = 2
LCM(7802,7820) = ( 7802 × 7820) / 2
LCM(7802,7820) = 61011640 / 2
LCM(7802,7820) = 30505820

Least Common Multiple (LCM) of 7802 and 7820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7802 and 7820. First we will calculate the prime factors of 7802 and 7820.

Prime Factorization of 7802

Prime factors of 7802 are 2, 47, 83. Prime factorization of 7802 in exponential form is:

7802 = 21 × 471 × 831

Prime Factorization of 7820

Prime factors of 7820 are 2, 5, 17, 23. Prime factorization of 7820 in exponential form is:

7820 = 22 × 51 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 7802 and 7820.

LCM(7802,7820) = 22 × 471 × 831 × 51 × 171 × 231
LCM(7802,7820) = 30505820