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What is the Least Common Multiple of 63950 and 63965?

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 63950 and 63965 is 818112350.

LCM(63950,63965) = 818112350

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Least Common Multiple of 63950 and 63965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63950 and 63965, than apply into the LCM equation.

GCF(63950,63965) = 5
LCM(63950,63965) = ( 63950 × 63965) / 5
LCM(63950,63965) = 4090561750 / 5
LCM(63950,63965) = 818112350

Least Common Multiple (LCM) of 63950 and 63965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63950 and 63965. First we will calculate the prime factors of 63950 and 63965.

Prime Factorization of 63950

Prime factors of 63950 are 2, 5, 1279. Prime factorization of 63950 in exponential form is:

63950 = 21 × 52 × 12791

Prime Factorization of 63965

Prime factors of 63965 are 5, 11, 1163. Prime factorization of 63965 in exponential form is:

63965 = 51 × 111 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 63950 and 63965.

LCM(63950,63965) = 21 × 52 × 12791 × 111 × 11631
LCM(63950,63965) = 818112350