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What is the Least Common Multiple of 77053 and 77060?

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 77053 and 77060 is 5937704180.

LCM(77053,77060) = 5937704180

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Least Common Multiple of 77053 and 77060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77053 and 77060, than apply into the LCM equation.

GCF(77053,77060) = 1
LCM(77053,77060) = ( 77053 × 77060) / 1
LCM(77053,77060) = 5937704180 / 1
LCM(77053,77060) = 5937704180

Least Common Multiple (LCM) of 77053 and 77060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77053 and 77060. First we will calculate the prime factors of 77053 and 77060.

Prime Factorization of 77053

Prime factors of 77053 are 29, 2657. Prime factorization of 77053 in exponential form is:

77053 = 291 × 26571

Prime Factorization of 77060

Prime factors of 77060 are 2, 5, 3853. Prime factorization of 77060 in exponential form is:

77060 = 22 × 51 × 38531

Now multiplying the highest exponent prime factors to calculate the LCM of 77053 and 77060.

LCM(77053,77060) = 291 × 26571 × 22 × 51 × 38531
LCM(77053,77060) = 5937704180