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What is the Least Common Multiple of 4929 and 4942?

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 4929 and 4942 is 24359118.

LCM(4929,4942) = 24359118

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Least Common Multiple of 4929 and 4942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4929 and 4942, than apply into the LCM equation.

GCF(4929,4942) = 1
LCM(4929,4942) = ( 4929 × 4942) / 1
LCM(4929,4942) = 24359118 / 1
LCM(4929,4942) = 24359118

Least Common Multiple (LCM) of 4929 and 4942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4929 and 4942. First we will calculate the prime factors of 4929 and 4942.

Prime Factorization of 4929

Prime factors of 4929 are 3, 31, 53. Prime factorization of 4929 in exponential form is:

4929 = 31 × 311 × 531

Prime Factorization of 4942

Prime factors of 4942 are 2, 7, 353. Prime factorization of 4942 in exponential form is:

4942 = 21 × 71 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 4929 and 4942.

LCM(4929,4942) = 31 × 311 × 531 × 21 × 71 × 3531
LCM(4929,4942) = 24359118