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What is the Least Common Multiple of 65714 and 65728?

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 65714 and 65728 is 2159624896.

LCM(65714,65728) = 2159624896

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Least Common Multiple of 65714 and 65728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65714 and 65728, than apply into the LCM equation.

GCF(65714,65728) = 2
LCM(65714,65728) = ( 65714 × 65728) / 2
LCM(65714,65728) = 4319249792 / 2
LCM(65714,65728) = 2159624896

Least Common Multiple (LCM) of 65714 and 65728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65714 and 65728. First we will calculate the prime factors of 65714 and 65728.

Prime Factorization of 65714

Prime factors of 65714 are 2, 11, 29, 103. Prime factorization of 65714 in exponential form is:

65714 = 21 × 111 × 291 × 1031

Prime Factorization of 65728

Prime factors of 65728 are 2, 13, 79. Prime factorization of 65728 in exponential form is:

65728 = 26 × 131 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 65714 and 65728.

LCM(65714,65728) = 26 × 111 × 291 × 1031 × 131 × 791
LCM(65714,65728) = 2159624896