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What is the Least Common Multiple of 52600 and 52620?

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 52600 and 52620 is 138390600.

LCM(52600,52620) = 138390600

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Least Common Multiple of 52600 and 52620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52600 and 52620, than apply into the LCM equation.

GCF(52600,52620) = 20
LCM(52600,52620) = ( 52600 × 52620) / 20
LCM(52600,52620) = 2767812000 / 20
LCM(52600,52620) = 138390600

Least Common Multiple (LCM) of 52600 and 52620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52600 and 52620. First we will calculate the prime factors of 52600 and 52620.

Prime Factorization of 52600

Prime factors of 52600 are 2, 5, 263. Prime factorization of 52600 in exponential form is:

52600 = 23 × 52 × 2631

Prime Factorization of 52620

Prime factors of 52620 are 2, 3, 5, 877. Prime factorization of 52620 in exponential form is:

52620 = 22 × 31 × 51 × 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 52600 and 52620.

LCM(52600,52620) = 23 × 52 × 2631 × 31 × 8771
LCM(52600,52620) = 138390600