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What is the Least Common Multiple of 50602 and 50610?

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 50602 and 50610 is 1280483610.

LCM(50602,50610) = 1280483610

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Least Common Multiple of 50602 and 50610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50602 and 50610, than apply into the LCM equation.

GCF(50602,50610) = 2
LCM(50602,50610) = ( 50602 × 50610) / 2
LCM(50602,50610) = 2560967220 / 2
LCM(50602,50610) = 1280483610

Least Common Multiple (LCM) of 50602 and 50610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50602 and 50610. First we will calculate the prime factors of 50602 and 50610.

Prime Factorization of 50602

Prime factors of 50602 are 2, 25301. Prime factorization of 50602 in exponential form is:

50602 = 21 × 253011

Prime Factorization of 50610

Prime factors of 50610 are 2, 3, 5, 7, 241. Prime factorization of 50610 in exponential form is:

50610 = 21 × 31 × 51 × 71 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 50602 and 50610.

LCM(50602,50610) = 21 × 253011 × 31 × 51 × 71 × 2411
LCM(50602,50610) = 1280483610