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What is the Least Common Multiple of 66199 and 66211?

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 66199 and 66211 is 4383101989.

LCM(66199,66211) = 4383101989

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Least Common Multiple of 66199 and 66211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66199 and 66211, than apply into the LCM equation.

GCF(66199,66211) = 1
LCM(66199,66211) = ( 66199 × 66211) / 1
LCM(66199,66211) = 4383101989 / 1
LCM(66199,66211) = 4383101989

Least Common Multiple (LCM) of 66199 and 66211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66199 and 66211. First we will calculate the prime factors of 66199 and 66211.

Prime Factorization of 66199

Prime factors of 66199 are 7, 193. Prime factorization of 66199 in exponential form is:

66199 = 73 × 1931

Prime Factorization of 66211

Prime factors of 66211 are 73, 907. Prime factorization of 66211 in exponential form is:

66211 = 731 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 66199 and 66211.

LCM(66199,66211) = 73 × 1931 × 731 × 9071
LCM(66199,66211) = 4383101989