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What is the Least Common Multiple of 7470 and 7480?

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 7470 and 7480 is 5587560.

LCM(7470,7480) = 5587560

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Least Common Multiple of 7470 and 7480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7470 and 7480, than apply into the LCM equation.

GCF(7470,7480) = 10
LCM(7470,7480) = ( 7470 × 7480) / 10
LCM(7470,7480) = 55875600 / 10
LCM(7470,7480) = 5587560

Least Common Multiple (LCM) of 7470 and 7480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7470 and 7480. First we will calculate the prime factors of 7470 and 7480.

Prime Factorization of 7470

Prime factors of 7470 are 2, 3, 5, 83. Prime factorization of 7470 in exponential form is:

7470 = 21 × 32 × 51 × 831

Prime Factorization of 7480

Prime factors of 7480 are 2, 5, 11, 17. Prime factorization of 7480 in exponential form is:

7480 = 23 × 51 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 7470 and 7480.

LCM(7470,7480) = 23 × 32 × 51 × 831 × 111 × 171
LCM(7470,7480) = 5587560