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What is the Least Common Multiple of 64714 and 64730?

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 64730 is 2094468610.

LCM(64714,64730) = 2094468610

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Least Common Multiple of 64714 and 64730 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 64730, than apply into the LCM equation.

GCF(64714,64730) = 2
LCM(64714,64730) = ( 64714 × 64730) / 2
LCM(64714,64730) = 4188937220 / 2
LCM(64714,64730) = 2094468610

Least Common Multiple (LCM) of 64714 and 64730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64714 and 64730. First we will calculate the prime factors of 64714 and 64730.

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 64730

Prime factors of 64730 are 2, 5, 6473. Prime factorization of 64730 in exponential form is:

64730 = 21 × 51 × 64731

Now multiplying the highest exponent prime factors to calculate the LCM of 64714 and 64730.

LCM(64714,64730) = 21 × 131 × 191 × 1311 × 51 × 64731
LCM(64714,64730) = 2094468610