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What is the Least Common Multiple of 40061 and 40079?

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 40061 and 40079 is 1605604819.

LCM(40061,40079) = 1605604819

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Least Common Multiple of 40061 and 40079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40061 and 40079, than apply into the LCM equation.

GCF(40061,40079) = 1
LCM(40061,40079) = ( 40061 × 40079) / 1
LCM(40061,40079) = 1605604819 / 1
LCM(40061,40079) = 1605604819

Least Common Multiple (LCM) of 40061 and 40079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40061 and 40079. First we will calculate the prime factors of 40061 and 40079.

Prime Factorization of 40061

Prime factors of 40061 are 7, 59, 97. Prime factorization of 40061 in exponential form is:

40061 = 71 × 591 × 971

Prime Factorization of 40079

Prime factors of 40079 are 13, 3083. Prime factorization of 40079 in exponential form is:

40079 = 131 × 30831

Now multiplying the highest exponent prime factors to calculate the LCM of 40061 and 40079.

LCM(40061,40079) = 71 × 591 × 971 × 131 × 30831
LCM(40061,40079) = 1605604819