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What is the Least Common Multiple of 67546 and 67561?

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 67546 and 67561 is 4563475306.

LCM(67546,67561) = 4563475306

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Least Common Multiple of 67546 and 67561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67546 and 67561, than apply into the LCM equation.

GCF(67546,67561) = 1
LCM(67546,67561) = ( 67546 × 67561) / 1
LCM(67546,67561) = 4563475306 / 1
LCM(67546,67561) = 4563475306

Least Common Multiple (LCM) of 67546 and 67561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67546 and 67561. First we will calculate the prime factors of 67546 and 67561.

Prime Factorization of 67546

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

67546 = 21 × 337731

Prime Factorization of 67561

Prime factors of 67561 are 13, 5197. Prime factorization of 67561 in exponential form is:

67561 = 131 × 51971

Now multiplying the highest exponent prime factors to calculate the LCM of 67546 and 67561.

LCM(67546,67561) = 21 × 337731 × 131 × 51971
LCM(67546,67561) = 4563475306