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What is the Least Common Multiple of 73999 and 74019?

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 73999 and 74019 is 5477331981.

LCM(73999,74019) = 5477331981

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Least Common Multiple of 73999 and 74019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73999 and 74019, than apply into the LCM equation.

GCF(73999,74019) = 1
LCM(73999,74019) = ( 73999 × 74019) / 1
LCM(73999,74019) = 5477331981 / 1
LCM(73999,74019) = 5477331981

Least Common Multiple (LCM) of 73999 and 74019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73999 and 74019. First we will calculate the prime factors of 73999 and 74019.

Prime Factorization of 73999

Prime factors of 73999 are 73999. Prime factorization of 73999 in exponential form is:

73999 = 739991

Prime Factorization of 74019

Prime factors of 74019 are 3, 11, 2243. Prime factorization of 74019 in exponential form is:

74019 = 31 × 111 × 22431

Now multiplying the highest exponent prime factors to calculate the LCM of 73999 and 74019.

LCM(73999,74019) = 739991 × 31 × 111 × 22431
LCM(73999,74019) = 5477331981