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What is the Least Common Multiple of 7407 and 7416?

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 7407 and 7416 is 6103368.

LCM(7407,7416) = 6103368

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Least Common Multiple of 7407 and 7416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7407 and 7416, than apply into the LCM equation.

GCF(7407,7416) = 9
LCM(7407,7416) = ( 7407 × 7416) / 9
LCM(7407,7416) = 54930312 / 9
LCM(7407,7416) = 6103368

Least Common Multiple (LCM) of 7407 and 7416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7407 and 7416. First we will calculate the prime factors of 7407 and 7416.

Prime Factorization of 7407

Prime factors of 7407 are 3, 823. Prime factorization of 7407 in exponential form is:

7407 = 32 × 8231

Prime Factorization of 7416

Prime factors of 7416 are 2, 3, 103. Prime factorization of 7416 in exponential form is:

7416 = 23 × 32 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 7407 and 7416.

LCM(7407,7416) = 32 × 8231 × 23 × 1031
LCM(7407,7416) = 6103368