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What is the Least Common Multiple of 60437 and 60446?

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 60437 and 60446 is 3653174902.

LCM(60437,60446) = 3653174902

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Least Common Multiple of 60437 and 60446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60437 and 60446, than apply into the LCM equation.

GCF(60437,60446) = 1
LCM(60437,60446) = ( 60437 × 60446) / 1
LCM(60437,60446) = 3653174902 / 1
LCM(60437,60446) = 3653174902

Least Common Multiple (LCM) of 60437 and 60446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60437 and 60446. First we will calculate the prime factors of 60437 and 60446.

Prime Factorization of 60437

Prime factors of 60437 are 13, 4649. Prime factorization of 60437 in exponential form is:

60437 = 131 × 46491

Prime Factorization of 60446

Prime factors of 60446 are 2, 30223. Prime factorization of 60446 in exponential form is:

60446 = 21 × 302231

Now multiplying the highest exponent prime factors to calculate the LCM of 60437 and 60446.

LCM(60437,60446) = 131 × 46491 × 21 × 302231
LCM(60437,60446) = 3653174902