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What is the Least Common Multiple of 66061 and 66067?

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 66061 and 66067 is 4364452087.

LCM(66061,66067) = 4364452087

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Least Common Multiple of 66061 and 66067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66061 and 66067, than apply into the LCM equation.

GCF(66061,66067) = 1
LCM(66061,66067) = ( 66061 × 66067) / 1
LCM(66061,66067) = 4364452087 / 1
LCM(66061,66067) = 4364452087

Least Common Multiple (LCM) of 66061 and 66067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66061 and 66067. First we will calculate the prime factors of 66061 and 66067.

Prime Factorization of 66061

Prime factors of 66061 are 31, 2131. Prime factorization of 66061 in exponential form is:

66061 = 311 × 21311

Prime Factorization of 66067

Prime factors of 66067 are 66067. Prime factorization of 66067 in exponential form is:

66067 = 660671

Now multiplying the highest exponent prime factors to calculate the LCM of 66061 and 66067.

LCM(66061,66067) = 311 × 21311 × 660671
LCM(66061,66067) = 4364452087