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What is the Least Common Multiple of 63961 and 63969?

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 63961 and 63969 is 4091521209.

LCM(63961,63969) = 4091521209

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Least Common Multiple of 63961 and 63969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63961 and 63969, than apply into the LCM equation.

GCF(63961,63969) = 1
LCM(63961,63969) = ( 63961 × 63969) / 1
LCM(63961,63969) = 4091521209 / 1
LCM(63961,63969) = 4091521209

Least Common Multiple (LCM) of 63961 and 63969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63961 and 63969. First we will calculate the prime factors of 63961 and 63969.

Prime Factorization of 63961

Prime factors of 63961 are 167, 383. Prime factorization of 63961 in exponential form is:

63961 = 1671 × 3831

Prime Factorization of 63969

Prime factors of 63969 are 3, 21323. Prime factorization of 63969 in exponential form is:

63969 = 31 × 213231

Now multiplying the highest exponent prime factors to calculate the LCM of 63961 and 63969.

LCM(63961,63969) = 1671 × 3831 × 31 × 213231
LCM(63961,63969) = 4091521209