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What is the Least Common Multiple of 60058 and 60067?

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 60058 and 60067 is 3607503886.

LCM(60058,60067) = 3607503886

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Least Common Multiple of 60058 and 60067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60058 and 60067, than apply into the LCM equation.

GCF(60058,60067) = 1
LCM(60058,60067) = ( 60058 × 60067) / 1
LCM(60058,60067) = 3607503886 / 1
LCM(60058,60067) = 3607503886

Least Common Multiple (LCM) of 60058 and 60067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60058 and 60067. First we will calculate the prime factors of 60058 and 60067.

Prime Factorization of 60058

Prime factors of 60058 are 2, 30029. Prime factorization of 60058 in exponential form is:

60058 = 21 × 300291

Prime Factorization of 60067

Prime factors of 60067 are 7, 8581. Prime factorization of 60067 in exponential form is:

60067 = 71 × 85811

Now multiplying the highest exponent prime factors to calculate the LCM of 60058 and 60067.

LCM(60058,60067) = 21 × 300291 × 71 × 85811
LCM(60058,60067) = 3607503886