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What is the Least Common Multiple of 68652 and 68661?

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 68652 and 68661 is 523746108.

LCM(68652,68661) = 523746108

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Least Common Multiple of 68652 and 68661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68652 and 68661, than apply into the LCM equation.

GCF(68652,68661) = 9
LCM(68652,68661) = ( 68652 × 68661) / 9
LCM(68652,68661) = 4713714972 / 9
LCM(68652,68661) = 523746108

Least Common Multiple (LCM) of 68652 and 68661 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68652 and 68661. First we will calculate the prime factors of 68652 and 68661.

Prime Factorization of 68652

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

68652 = 22 × 32 × 19071

Prime Factorization of 68661

Prime factors of 68661 are 3, 2543. Prime factorization of 68661 in exponential form is:

68661 = 33 × 25431

Now multiplying the highest exponent prime factors to calculate the LCM of 68652 and 68661.

LCM(68652,68661) = 22 × 33 × 19071 × 25431
LCM(68652,68661) = 523746108