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What is the Least Common Multiple of 94546 and 94561?

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 94546 and 94561 is 8940364306.

LCM(94546,94561) = 8940364306

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Least Common Multiple of 94546 and 94561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94546 and 94561, than apply into the LCM equation.

GCF(94546,94561) = 1
LCM(94546,94561) = ( 94546 × 94561) / 1
LCM(94546,94561) = 8940364306 / 1
LCM(94546,94561) = 8940364306

Least Common Multiple (LCM) of 94546 and 94561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94546 and 94561. First we will calculate the prime factors of 94546 and 94561.

Prime Factorization of 94546

Prime factors of 94546 are 2, 41, 1153. Prime factorization of 94546 in exponential form is:

94546 = 21 × 411 × 11531

Prime Factorization of 94561

Prime factors of 94561 are 94561. Prime factorization of 94561 in exponential form is:

94561 = 945611

Now multiplying the highest exponent prime factors to calculate the LCM of 94546 and 94561.

LCM(94546,94561) = 21 × 411 × 11531 × 945611
LCM(94546,94561) = 8940364306