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What is the Least Common Multiple of 67527 and 67546?

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 67527 and 67546 is 4561178742.

LCM(67527,67546) = 4561178742

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Least Common Multiple of 67527 and 67546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67527 and 67546, than apply into the LCM equation.

GCF(67527,67546) = 1
LCM(67527,67546) = ( 67527 × 67546) / 1
LCM(67527,67546) = 4561178742 / 1
LCM(67527,67546) = 4561178742

Least Common Multiple (LCM) of 67527 and 67546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67527 and 67546. First we will calculate the prime factors of 67527 and 67546.

Prime Factorization of 67527

Prime factors of 67527 are 3, 41, 61. Prime factorization of 67527 in exponential form is:

67527 = 33 × 411 × 611

Prime Factorization of 67546

Prime factors of 67546 are 2, 33773. Prime factorization of 67546 in exponential form is:

67546 = 21 × 337731

Now multiplying the highest exponent prime factors to calculate the LCM of 67527 and 67546.

LCM(67527,67546) = 33 × 411 × 611 × 21 × 337731
LCM(67527,67546) = 4561178742