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What is the Least Common Multiple of 7623 and 7637?

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 7623 and 7637 is 8316693.

LCM(7623,7637) = 8316693

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Least Common Multiple of 7623 and 7637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7623 and 7637, than apply into the LCM equation.

GCF(7623,7637) = 7
LCM(7623,7637) = ( 7623 × 7637) / 7
LCM(7623,7637) = 58216851 / 7
LCM(7623,7637) = 8316693

Least Common Multiple (LCM) of 7623 and 7637 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7623 and 7637. First we will calculate the prime factors of 7623 and 7637.

Prime Factorization of 7623

Prime factors of 7623 are 3, 7, 11. Prime factorization of 7623 in exponential form is:

7623 = 32 × 71 × 112

Prime Factorization of 7637

Prime factors of 7637 are 7, 1091. Prime factorization of 7637 in exponential form is:

7637 = 71 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 7623 and 7637.

LCM(7623,7637) = 32 × 71 × 112 × 10911
LCM(7623,7637) = 8316693