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What is the Least Common Multiple of 60070 and 60079?

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 60070 and 60079 is 3608945530.

LCM(60070,60079) = 3608945530

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Least Common Multiple of 60070 and 60079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60070 and 60079, than apply into the LCM equation.

GCF(60070,60079) = 1
LCM(60070,60079) = ( 60070 × 60079) / 1
LCM(60070,60079) = 3608945530 / 1
LCM(60070,60079) = 3608945530

Least Common Multiple (LCM) of 60070 and 60079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60070 and 60079. First we will calculate the prime factors of 60070 and 60079.

Prime Factorization of 60070

Prime factors of 60070 are 2, 5, 6007. Prime factorization of 60070 in exponential form is:

60070 = 21 × 51 × 60071

Prime Factorization of 60079

Prime factors of 60079 are 73, 823. Prime factorization of 60079 in exponential form is:

60079 = 731 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 60070 and 60079.

LCM(60070,60079) = 21 × 51 × 60071 × 731 × 8231
LCM(60070,60079) = 3608945530