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What is the Least Common Multiple of 68647 and 68652?

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 68647 and 68652 is 4712753844.

LCM(68647,68652) = 4712753844

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Least Common Multiple of 68647 and 68652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68647 and 68652, than apply into the LCM equation.

GCF(68647,68652) = 1
LCM(68647,68652) = ( 68647 × 68652) / 1
LCM(68647,68652) = 4712753844 / 1
LCM(68647,68652) = 4712753844

Least Common Multiple (LCM) of 68647 and 68652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68647 and 68652. First we will calculate the prime factors of 68647 and 68652.

Prime Factorization of 68647

Prime factors of 68647 are 19, 3613. Prime factorization of 68647 in exponential form is:

68647 = 191 × 36131

Prime Factorization of 68652

Prime factors of 68652 are 2, 3, 1907. Prime factorization of 68652 in exponential form is:

68652 = 22 × 32 × 19071

Now multiplying the highest exponent prime factors to calculate the LCM of 68647 and 68652.

LCM(68647,68652) = 191 × 36131 × 22 × 32 × 19071
LCM(68647,68652) = 4712753844