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What is the Least Common Multiple of 68046 and 68058?

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 68046 and 68058 is 771845778.

LCM(68046,68058) = 771845778

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Least Common Multiple of 68046 and 68058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68046 and 68058, than apply into the LCM equation.

GCF(68046,68058) = 6
LCM(68046,68058) = ( 68046 × 68058) / 6
LCM(68046,68058) = 4631074668 / 6
LCM(68046,68058) = 771845778

Least Common Multiple (LCM) of 68046 and 68058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68046 and 68058. First we will calculate the prime factors of 68046 and 68058.

Prime Factorization of 68046

Prime factors of 68046 are 2, 3, 11, 1031. Prime factorization of 68046 in exponential form is:

68046 = 21 × 31 × 111 × 10311

Prime Factorization of 68058

Prime factors of 68058 are 2, 3, 19, 199. Prime factorization of 68058 in exponential form is:

68058 = 21 × 32 × 191 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 68046 and 68058.

LCM(68046,68058) = 21 × 32 × 111 × 10311 × 191 × 1991
LCM(68046,68058) = 771845778