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What is the Least Common Multiple of 73861 and 73877?

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 73861 and 73877 is 5456629097.

LCM(73861,73877) = 5456629097

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Least Common Multiple of 73861 and 73877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73861 and 73877, than apply into the LCM equation.

GCF(73861,73877) = 1
LCM(73861,73877) = ( 73861 × 73877) / 1
LCM(73861,73877) = 5456629097 / 1
LCM(73861,73877) = 5456629097

Least Common Multiple (LCM) of 73861 and 73877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73861 and 73877. First we will calculate the prime factors of 73861 and 73877.

Prime Factorization of 73861

Prime factors of 73861 are 233, 317. Prime factorization of 73861 in exponential form is:

73861 = 2331 × 3171

Prime Factorization of 73877

Prime factors of 73877 are 73877. Prime factorization of 73877 in exponential form is:

73877 = 738771

Now multiplying the highest exponent prime factors to calculate the LCM of 73861 and 73877.

LCM(73861,73877) = 2331 × 3171 × 738771
LCM(73861,73877) = 5456629097