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What is the Least Common Multiple of 66101 and 66111?

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 66101 and 66111 is 4370003211.

LCM(66101,66111) = 4370003211

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Least Common Multiple of 66101 and 66111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66101 and 66111, than apply into the LCM equation.

GCF(66101,66111) = 1
LCM(66101,66111) = ( 66101 × 66111) / 1
LCM(66101,66111) = 4370003211 / 1
LCM(66101,66111) = 4370003211

Least Common Multiple (LCM) of 66101 and 66111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66101 and 66111. First we will calculate the prime factors of 66101 and 66111.

Prime Factorization of 66101

Prime factors of 66101 are 7, 19, 71. Prime factorization of 66101 in exponential form is:

66101 = 72 × 191 × 711

Prime Factorization of 66111

Prime factors of 66111 are 3, 22037. Prime factorization of 66111 in exponential form is:

66111 = 31 × 220371

Now multiplying the highest exponent prime factors to calculate the LCM of 66101 and 66111.

LCM(66101,66111) = 72 × 191 × 711 × 31 × 220371
LCM(66101,66111) = 4370003211