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What is the Least Common Multiple of 93470 and 93480?

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 93470 and 93480 is 873757560.

LCM(93470,93480) = 873757560

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Least Common Multiple of 93470 and 93480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93470 and 93480, than apply into the LCM equation.

GCF(93470,93480) = 10
LCM(93470,93480) = ( 93470 × 93480) / 10
LCM(93470,93480) = 8737575600 / 10
LCM(93470,93480) = 873757560

Least Common Multiple (LCM) of 93470 and 93480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93470 and 93480. First we will calculate the prime factors of 93470 and 93480.

Prime Factorization of 93470

Prime factors of 93470 are 2, 5, 13, 719. Prime factorization of 93470 in exponential form is:

93470 = 21 × 51 × 131 × 7191

Prime Factorization of 93480

Prime factors of 93480 are 2, 3, 5, 19, 41. Prime factorization of 93480 in exponential form is:

93480 = 23 × 31 × 51 × 191 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 93470 and 93480.

LCM(93470,93480) = 23 × 51 × 131 × 7191 × 31 × 191 × 411
LCM(93470,93480) = 873757560