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What is the Least Common Multiple of 60077 and 60094?

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 60077 and 60094 is 3610267238.

LCM(60077,60094) = 3610267238

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Least Common Multiple of 60077 and 60094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60077 and 60094, than apply into the LCM equation.

GCF(60077,60094) = 1
LCM(60077,60094) = ( 60077 × 60094) / 1
LCM(60077,60094) = 3610267238 / 1
LCM(60077,60094) = 3610267238

Least Common Multiple (LCM) of 60077 and 60094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60077 and 60094. First we will calculate the prime factors of 60077 and 60094.

Prime Factorization of 60077

Prime factors of 60077 are 60077. Prime factorization of 60077 in exponential form is:

60077 = 600771

Prime Factorization of 60094

Prime factors of 60094 are 2, 30047. Prime factorization of 60094 in exponential form is:

60094 = 21 × 300471

Now multiplying the highest exponent prime factors to calculate the LCM of 60077 and 60094.

LCM(60077,60094) = 600771 × 21 × 300471
LCM(60077,60094) = 3610267238