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What is the Least Common Multiple of 11924 and 11942?

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 11924 and 11942 is 71198204.

LCM(11924,11942) = 71198204

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Least Common Multiple of 11924 and 11942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11924 and 11942, than apply into the LCM equation.

GCF(11924,11942) = 2
LCM(11924,11942) = ( 11924 × 11942) / 2
LCM(11924,11942) = 142396408 / 2
LCM(11924,11942) = 71198204

Least Common Multiple (LCM) of 11924 and 11942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11924 and 11942. First we will calculate the prime factors of 11924 and 11942.

Prime Factorization of 11924

Prime factors of 11924 are 2, 11, 271. Prime factorization of 11924 in exponential form is:

11924 = 22 × 111 × 2711

Prime Factorization of 11942

Prime factors of 11942 are 2, 7, 853. Prime factorization of 11942 in exponential form is:

11942 = 21 × 71 × 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 11924 and 11942.

LCM(11924,11942) = 22 × 111 × 2711 × 71 × 8531
LCM(11924,11942) = 71198204