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What is the Least Common Multiple of 61422 and 61440?

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 61422 and 61440 is 628961280.

LCM(61422,61440) = 628961280

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Least Common Multiple of 61422 and 61440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61422 and 61440, than apply into the LCM equation.

GCF(61422,61440) = 6
LCM(61422,61440) = ( 61422 × 61440) / 6
LCM(61422,61440) = 3773767680 / 6
LCM(61422,61440) = 628961280

Least Common Multiple (LCM) of 61422 and 61440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61422 and 61440. First we will calculate the prime factors of 61422 and 61440.

Prime Factorization of 61422

Prime factors of 61422 are 2, 3, 29, 353. Prime factorization of 61422 in exponential form is:

61422 = 21 × 31 × 291 × 3531

Prime Factorization of 61440

Prime factors of 61440 are 2, 3, 5. Prime factorization of 61440 in exponential form is:

61440 = 212 × 31 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 61422 and 61440.

LCM(61422,61440) = 212 × 31 × 291 × 3531 × 51
LCM(61422,61440) = 628961280