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What is the Least Common Multiple of 63910 and 63921?

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 63910 and 63921 is 371381010.

LCM(63910,63921) = 371381010

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Least Common Multiple of 63910 and 63921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63910 and 63921, than apply into the LCM equation.

GCF(63910,63921) = 11
LCM(63910,63921) = ( 63910 × 63921) / 11
LCM(63910,63921) = 4085191110 / 11
LCM(63910,63921) = 371381010

Least Common Multiple (LCM) of 63910 and 63921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63910 and 63921. First we will calculate the prime factors of 63910 and 63921.

Prime Factorization of 63910

Prime factors of 63910 are 2, 5, 7, 11, 83. Prime factorization of 63910 in exponential form is:

63910 = 21 × 51 × 71 × 111 × 831

Prime Factorization of 63921

Prime factors of 63921 are 3, 11, 13, 149. Prime factorization of 63921 in exponential form is:

63921 = 31 × 111 × 131 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 63910 and 63921.

LCM(63910,63921) = 21 × 51 × 71 × 111 × 831 × 31 × 131 × 1491
LCM(63910,63921) = 371381010