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What is the Least Common Multiple of 68542 and 68551?

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 68542 and 68551 is 4698622642.

LCM(68542,68551) = 4698622642

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Least Common Multiple of 68542 and 68551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68542 and 68551, than apply into the LCM equation.

GCF(68542,68551) = 1
LCM(68542,68551) = ( 68542 × 68551) / 1
LCM(68542,68551) = 4698622642 / 1
LCM(68542,68551) = 4698622642

Least Common Multiple (LCM) of 68542 and 68551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68542 and 68551. First we will calculate the prime factors of 68542 and 68551.

Prime Factorization of 68542

Prime factors of 68542 are 2, 43, 797. Prime factorization of 68542 in exponential form is:

68542 = 21 × 431 × 7971

Prime Factorization of 68551

Prime factors of 68551 are 7, 1399. Prime factorization of 68551 in exponential form is:

68551 = 72 × 13991

Now multiplying the highest exponent prime factors to calculate the LCM of 68542 and 68551.

LCM(68542,68551) = 21 × 431 × 7971 × 72 × 13991
LCM(68542,68551) = 4698622642