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What is the Least Common Multiple of 78641 and 78650?

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 78641 and 78650 is 6185114650.

LCM(78641,78650) = 6185114650

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Least Common Multiple of 78641 and 78650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78641 and 78650, than apply into the LCM equation.

GCF(78641,78650) = 1
LCM(78641,78650) = ( 78641 × 78650) / 1
LCM(78641,78650) = 6185114650 / 1
LCM(78641,78650) = 6185114650

Least Common Multiple (LCM) of 78641 and 78650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78641 and 78650. First we will calculate the prime factors of 78641 and 78650.

Prime Factorization of 78641

Prime factors of 78641 are 19, 4139. Prime factorization of 78641 in exponential form is:

78641 = 191 × 41391

Prime Factorization of 78650

Prime factors of 78650 are 2, 5, 11, 13. Prime factorization of 78650 in exponential form is:

78650 = 21 × 52 × 112 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 78641 and 78650.

LCM(78641,78650) = 191 × 41391 × 21 × 52 × 112 × 131
LCM(78641,78650) = 6185114650