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What is the Least Common Multiple of 65448 and 65460?

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 65448 and 65460 is 357018840.

LCM(65448,65460) = 357018840

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Least Common Multiple of 65448 and 65460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65448 and 65460, than apply into the LCM equation.

GCF(65448,65460) = 12
LCM(65448,65460) = ( 65448 × 65460) / 12
LCM(65448,65460) = 4284226080 / 12
LCM(65448,65460) = 357018840

Least Common Multiple (LCM) of 65448 and 65460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65448 and 65460. First we will calculate the prime factors of 65448 and 65460.

Prime Factorization of 65448

Prime factors of 65448 are 2, 3, 101. Prime factorization of 65448 in exponential form is:

65448 = 23 × 34 × 1011

Prime Factorization of 65460

Prime factors of 65460 are 2, 3, 5, 1091. Prime factorization of 65460 in exponential form is:

65460 = 22 × 31 × 51 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 65448 and 65460.

LCM(65448,65460) = 23 × 34 × 1011 × 51 × 10911
LCM(65448,65460) = 357018840