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What is the Least Common Multiple of 80059 and 80074?

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 80059 and 80074 is 6410644366.

LCM(80059,80074) = 6410644366

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Least Common Multiple of 80059 and 80074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80059 and 80074, than apply into the LCM equation.

GCF(80059,80074) = 1
LCM(80059,80074) = ( 80059 × 80074) / 1
LCM(80059,80074) = 6410644366 / 1
LCM(80059,80074) = 6410644366

Least Common Multiple (LCM) of 80059 and 80074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80059 and 80074. First we will calculate the prime factors of 80059 and 80074.

Prime Factorization of 80059

Prime factors of 80059 are 7, 11437. Prime factorization of 80059 in exponential form is:

80059 = 71 × 114371

Prime Factorization of 80074

Prime factors of 80074 are 2, 40037. Prime factorization of 80074 in exponential form is:

80074 = 21 × 400371

Now multiplying the highest exponent prime factors to calculate the LCM of 80059 and 80074.

LCM(80059,80074) = 71 × 114371 × 21 × 400371
LCM(80059,80074) = 6410644366