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What is the Least Common Multiple of 67537 and 67551?

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 67537 and 67551 is 4562191887.

LCM(67537,67551) = 4562191887

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Least Common Multiple of 67537 and 67551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67537 and 67551, than apply into the LCM equation.

GCF(67537,67551) = 1
LCM(67537,67551) = ( 67537 × 67551) / 1
LCM(67537,67551) = 4562191887 / 1
LCM(67537,67551) = 4562191887

Least Common Multiple (LCM) of 67537 and 67551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67537 and 67551. First we will calculate the prime factors of 67537 and 67551.

Prime Factorization of 67537

Prime factors of 67537 are 67537. Prime factorization of 67537 in exponential form is:

67537 = 675371

Prime Factorization of 67551

Prime factors of 67551 are 3, 11, 23, 89. Prime factorization of 67551 in exponential form is:

67551 = 31 × 111 × 231 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 67537 and 67551.

LCM(67537,67551) = 675371 × 31 × 111 × 231 × 891
LCM(67537,67551) = 4562191887