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What is the Least Common Multiple of 62460 and 62479?

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 62460 and 62479 is 3902438340.

LCM(62460,62479) = 3902438340

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Least Common Multiple of 62460 and 62479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62460 and 62479, than apply into the LCM equation.

GCF(62460,62479) = 1
LCM(62460,62479) = ( 62460 × 62479) / 1
LCM(62460,62479) = 3902438340 / 1
LCM(62460,62479) = 3902438340

Least Common Multiple (LCM) of 62460 and 62479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62460 and 62479. First we will calculate the prime factors of 62460 and 62479.

Prime Factorization of 62460

Prime factors of 62460 are 2, 3, 5, 347. Prime factorization of 62460 in exponential form is:

62460 = 22 × 32 × 51 × 3471

Prime Factorization of 62479

Prime factors of 62479 are 43, 1453. Prime factorization of 62479 in exponential form is:

62479 = 431 × 14531

Now multiplying the highest exponent prime factors to calculate the LCM of 62460 and 62479.

LCM(62460,62479) = 22 × 32 × 51 × 3471 × 431 × 14531
LCM(62460,62479) = 3902438340