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What is the Least Common Multiple of 68924 and 68942?

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 68924 and 68942 is 2375879204.

LCM(68924,68942) = 2375879204

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Least Common Multiple of 68924 and 68942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68924 and 68942, than apply into the LCM equation.

GCF(68924,68942) = 2
LCM(68924,68942) = ( 68924 × 68942) / 2
LCM(68924,68942) = 4751758408 / 2
LCM(68924,68942) = 2375879204

Least Common Multiple (LCM) of 68924 and 68942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68924 and 68942. First we will calculate the prime factors of 68924 and 68942.

Prime Factorization of 68924

Prime factors of 68924 are 2, 17231. Prime factorization of 68924 in exponential form is:

68924 = 22 × 172311

Prime Factorization of 68942

Prime factors of 68942 are 2, 34471. Prime factorization of 68942 in exponential form is:

68942 = 21 × 344711

Now multiplying the highest exponent prime factors to calculate the LCM of 68924 and 68942.

LCM(68924,68942) = 22 × 172311 × 344711
LCM(68924,68942) = 2375879204