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What is the Least Common Multiple of 7460 and 7465?

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 7460 and 7465 is 11137780.

LCM(7460,7465) = 11137780

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Least Common Multiple of 7460 and 7465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7460 and 7465, than apply into the LCM equation.

GCF(7460,7465) = 5
LCM(7460,7465) = ( 7460 × 7465) / 5
LCM(7460,7465) = 55688900 / 5
LCM(7460,7465) = 11137780

Least Common Multiple (LCM) of 7460 and 7465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7460 and 7465. First we will calculate the prime factors of 7460 and 7465.

Prime Factorization of 7460

Prime factors of 7460 are 2, 5, 373. Prime factorization of 7460 in exponential form is:

7460 = 22 × 51 × 3731

Prime Factorization of 7465

Prime factors of 7465 are 5, 1493. Prime factorization of 7465 in exponential form is:

7465 = 51 × 14931

Now multiplying the highest exponent prime factors to calculate the LCM of 7460 and 7465.

LCM(7460,7465) = 22 × 51 × 3731 × 14931
LCM(7460,7465) = 11137780