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What is the Least Common Multiple of 65199 and 65219?

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 65199 and 65219 is 4252213581.

LCM(65199,65219) = 4252213581

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Least Common Multiple of 65199 and 65219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65199 and 65219, than apply into the LCM equation.

GCF(65199,65219) = 1
LCM(65199,65219) = ( 65199 × 65219) / 1
LCM(65199,65219) = 4252213581 / 1
LCM(65199,65219) = 4252213581

Least Common Multiple (LCM) of 65199 and 65219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65199 and 65219. First we will calculate the prime factors of 65199 and 65219.

Prime Factorization of 65199

Prime factors of 65199 are 3, 103, 211. Prime factorization of 65199 in exponential form is:

65199 = 31 × 1031 × 2111

Prime Factorization of 65219

Prime factors of 65219 are 7, 11. Prime factorization of 65219 in exponential form is:

65219 = 72 × 113

Now multiplying the highest exponent prime factors to calculate the LCM of 65199 and 65219.

LCM(65199,65219) = 31 × 1031 × 2111 × 72 × 113
LCM(65199,65219) = 4252213581