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What is the Least Common Multiple of 68442 and 68454?

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 68442 and 68454 is 780854778.

LCM(68442,68454) = 780854778

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Least Common Multiple of 68442 and 68454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68442 and 68454, than apply into the LCM equation.

GCF(68442,68454) = 6
LCM(68442,68454) = ( 68442 × 68454) / 6
LCM(68442,68454) = 4685128668 / 6
LCM(68442,68454) = 780854778

Least Common Multiple (LCM) of 68442 and 68454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68442 and 68454. First we will calculate the prime factors of 68442 and 68454.

Prime Factorization of 68442

Prime factors of 68442 are 2, 3, 11, 17, 61. Prime factorization of 68442 in exponential form is:

68442 = 21 × 31 × 111 × 171 × 611

Prime Factorization of 68454

Prime factors of 68454 are 2, 3, 3803. Prime factorization of 68454 in exponential form is:

68454 = 21 × 32 × 38031

Now multiplying the highest exponent prime factors to calculate the LCM of 68442 and 68454.

LCM(68442,68454) = 21 × 32 × 111 × 171 × 611 × 38031
LCM(68442,68454) = 780854778