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What is the Least Common Multiple of 4219 and 4229?

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 4219 and 4229 is 17842151.

LCM(4219,4229) = 17842151

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Least Common Multiple of 4219 and 4229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4219 and 4229, than apply into the LCM equation.

GCF(4219,4229) = 1
LCM(4219,4229) = ( 4219 × 4229) / 1
LCM(4219,4229) = 17842151 / 1
LCM(4219,4229) = 17842151

Least Common Multiple (LCM) of 4219 and 4229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4219 and 4229. First we will calculate the prime factors of 4219 and 4229.

Prime Factorization of 4219

Prime factors of 4219 are 4219. Prime factorization of 4219 in exponential form is:

4219 = 42191

Prime Factorization of 4229

Prime factors of 4229 are 4229. Prime factorization of 4229 in exponential form is:

4229 = 42291

Now multiplying the highest exponent prime factors to calculate the LCM of 4219 and 4229.

LCM(4219,4229) = 42191 × 42291
LCM(4219,4229) = 17842151