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What is the Least Common Multiple of 52470 and 52478?

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 52470 and 52478 is 1376760330.

LCM(52470,52478) = 1376760330

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Least Common Multiple of 52470 and 52478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52470 and 52478, than apply into the LCM equation.

GCF(52470,52478) = 2
LCM(52470,52478) = ( 52470 × 52478) / 2
LCM(52470,52478) = 2753520660 / 2
LCM(52470,52478) = 1376760330

Least Common Multiple (LCM) of 52470 and 52478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52470 and 52478. First we will calculate the prime factors of 52470 and 52478.

Prime Factorization of 52470

Prime factors of 52470 are 2, 3, 5, 11, 53. Prime factorization of 52470 in exponential form is:

52470 = 21 × 32 × 51 × 111 × 531

Prime Factorization of 52478

Prime factors of 52478 are 2, 19, 1381. Prime factorization of 52478 in exponential form is:

52478 = 21 × 191 × 13811

Now multiplying the highest exponent prime factors to calculate the LCM of 52470 and 52478.

LCM(52470,52478) = 21 × 32 × 51 × 111 × 531 × 191 × 13811
LCM(52470,52478) = 1376760330