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What is the Least Common Multiple of 42203 and 42219?

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 42203 and 42219 is 1781768457.

LCM(42203,42219) = 1781768457

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Least Common Multiple of 42203 and 42219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42203 and 42219, than apply into the LCM equation.

GCF(42203,42219) = 1
LCM(42203,42219) = ( 42203 × 42219) / 1
LCM(42203,42219) = 1781768457 / 1
LCM(42203,42219) = 1781768457

Least Common Multiple (LCM) of 42203 and 42219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42203 and 42219. First we will calculate the prime factors of 42203 and 42219.

Prime Factorization of 42203

Prime factors of 42203 are 7, 6029. Prime factorization of 42203 in exponential form is:

42203 = 71 × 60291

Prime Factorization of 42219

Prime factors of 42219 are 3, 4691. Prime factorization of 42219 in exponential form is:

42219 = 32 × 46911

Now multiplying the highest exponent prime factors to calculate the LCM of 42203 and 42219.

LCM(42203,42219) = 71 × 60291 × 32 × 46911
LCM(42203,42219) = 1781768457