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What is the Least Common Multiple of 66524 and 66540?

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 66524 and 66540 is 1106626740.

LCM(66524,66540) = 1106626740

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Least Common Multiple of 66524 and 66540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66524 and 66540, than apply into the LCM equation.

GCF(66524,66540) = 4
LCM(66524,66540) = ( 66524 × 66540) / 4
LCM(66524,66540) = 4426506960 / 4
LCM(66524,66540) = 1106626740

Least Common Multiple (LCM) of 66524 and 66540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66524 and 66540. First we will calculate the prime factors of 66524 and 66540.

Prime Factorization of 66524

Prime factors of 66524 are 2, 16631. Prime factorization of 66524 in exponential form is:

66524 = 22 × 166311

Prime Factorization of 66540

Prime factors of 66540 are 2, 3, 5, 1109. Prime factorization of 66540 in exponential form is:

66540 = 22 × 31 × 51 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 66524 and 66540.

LCM(66524,66540) = 22 × 166311 × 31 × 51 × 11091
LCM(66524,66540) = 1106626740