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What is the Least Common Multiple of 4242 and 4246?

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 4242 and 4246 is 9005766.

LCM(4242,4246) = 9005766

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Least Common Multiple of 4242 and 4246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4242 and 4246, than apply into the LCM equation.

GCF(4242,4246) = 2
LCM(4242,4246) = ( 4242 × 4246) / 2
LCM(4242,4246) = 18011532 / 2
LCM(4242,4246) = 9005766

Least Common Multiple (LCM) of 4242 and 4246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4242 and 4246. First we will calculate the prime factors of 4242 and 4246.

Prime Factorization of 4242

Prime factors of 4242 are 2, 3, 7, 101. Prime factorization of 4242 in exponential form is:

4242 = 21 × 31 × 71 × 1011

Prime Factorization of 4246

Prime factors of 4246 are 2, 11, 193. Prime factorization of 4246 in exponential form is:

4246 = 21 × 111 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 4242 and 4246.

LCM(4242,4246) = 21 × 31 × 71 × 1011 × 111 × 1931
LCM(4242,4246) = 9005766