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What is the Least Common Multiple of 68042 and 68048?

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 68042 and 68048 is 2315061008.

LCM(68042,68048) = 2315061008

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Least Common Multiple of 68042 and 68048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68042 and 68048, than apply into the LCM equation.

GCF(68042,68048) = 2
LCM(68042,68048) = ( 68042 × 68048) / 2
LCM(68042,68048) = 4630122016 / 2
LCM(68042,68048) = 2315061008

Least Common Multiple (LCM) of 68042 and 68048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68042 and 68048. First we will calculate the prime factors of 68042 and 68048.

Prime Factorization of 68042

Prime factors of 68042 are 2, 13, 2617. Prime factorization of 68042 in exponential form is:

68042 = 21 × 131 × 26171

Prime Factorization of 68048

Prime factors of 68048 are 2, 4253. Prime factorization of 68048 in exponential form is:

68048 = 24 × 42531

Now multiplying the highest exponent prime factors to calculate the LCM of 68042 and 68048.

LCM(68042,68048) = 24 × 131 × 26171 × 42531
LCM(68042,68048) = 2315061008