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What is the Least Common Multiple of 7634 and 7654?

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 7634 and 7654 is 29215318.

LCM(7634,7654) = 29215318

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Least Common Multiple of 7634 and 7654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7634 and 7654, than apply into the LCM equation.

GCF(7634,7654) = 2
LCM(7634,7654) = ( 7634 × 7654) / 2
LCM(7634,7654) = 58430636 / 2
LCM(7634,7654) = 29215318

Least Common Multiple (LCM) of 7634 and 7654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7634 and 7654. First we will calculate the prime factors of 7634 and 7654.

Prime Factorization of 7634

Prime factors of 7634 are 2, 11, 347. Prime factorization of 7634 in exponential form is:

7634 = 21 × 111 × 3471

Prime Factorization of 7654

Prime factors of 7654 are 2, 43, 89. Prime factorization of 7654 in exponential form is:

7654 = 21 × 431 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 7634 and 7654.

LCM(7634,7654) = 21 × 111 × 3471 × 431 × 891
LCM(7634,7654) = 29215318