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What is the Least Common Multiple of 60374 and 60379?

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 60374 and 60379 is 3645321746.

LCM(60374,60379) = 3645321746

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Least Common Multiple of 60374 and 60379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60374 and 60379, than apply into the LCM equation.

GCF(60374,60379) = 1
LCM(60374,60379) = ( 60374 × 60379) / 1
LCM(60374,60379) = 3645321746 / 1
LCM(60374,60379) = 3645321746

Least Common Multiple (LCM) of 60374 and 60379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60374 and 60379. First we will calculate the prime factors of 60374 and 60379.

Prime Factorization of 60374

Prime factors of 60374 are 2, 30187. Prime factorization of 60374 in exponential form is:

60374 = 21 × 301871

Prime Factorization of 60379

Prime factors of 60379 are 11, 499. Prime factorization of 60379 in exponential form is:

60379 = 112 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 60374 and 60379.

LCM(60374,60379) = 21 × 301871 × 112 × 4991
LCM(60374,60379) = 3645321746