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What is the Least Common Multiple of 60425 and 60434?

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 60425 and 60434 is 3651724450.

LCM(60425,60434) = 3651724450

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Least Common Multiple of 60425 and 60434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60425 and 60434, than apply into the LCM equation.

GCF(60425,60434) = 1
LCM(60425,60434) = ( 60425 × 60434) / 1
LCM(60425,60434) = 3651724450 / 1
LCM(60425,60434) = 3651724450

Least Common Multiple (LCM) of 60425 and 60434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60425 and 60434. First we will calculate the prime factors of 60425 and 60434.

Prime Factorization of 60425

Prime factors of 60425 are 5, 2417. Prime factorization of 60425 in exponential form is:

60425 = 52 × 24171

Prime Factorization of 60434

Prime factors of 60434 are 2, 11, 41, 67. Prime factorization of 60434 in exponential form is:

60434 = 21 × 111 × 411 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 60425 and 60434.

LCM(60425,60434) = 52 × 24171 × 21 × 111 × 411 × 671
LCM(60425,60434) = 3651724450