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What is the Least Common Multiple of 64714 and 64719?

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 64714 and 64719 is 4188225366.

LCM(64714,64719) = 4188225366

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Least Common Multiple of 64714 and 64719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64714 and 64719, than apply into the LCM equation.

GCF(64714,64719) = 1
LCM(64714,64719) = ( 64714 × 64719) / 1
LCM(64714,64719) = 4188225366 / 1
LCM(64714,64719) = 4188225366

Least Common Multiple (LCM) of 64714 and 64719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64714 and 64719. First we will calculate the prime factors of 64714 and 64719.

Prime Factorization of 64714

Prime factors of 64714 are 2, 13, 19, 131. Prime factorization of 64714 in exponential form is:

64714 = 21 × 131 × 191 × 1311

Prime Factorization of 64719

Prime factors of 64719 are 3, 17, 47. Prime factorization of 64719 in exponential form is:

64719 = 34 × 171 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 64714 and 64719.

LCM(64714,64719) = 21 × 131 × 191 × 1311 × 34 × 171 × 471
LCM(64714,64719) = 4188225366