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What is the Least Common Multiple of 8232 and 8240?

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 8232 and 8240 is 8478960.

LCM(8232,8240) = 8478960

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Least Common Multiple of 8232 and 8240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8232 and 8240, than apply into the LCM equation.

GCF(8232,8240) = 8
LCM(8232,8240) = ( 8232 × 8240) / 8
LCM(8232,8240) = 67831680 / 8
LCM(8232,8240) = 8478960

Least Common Multiple (LCM) of 8232 and 8240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8232 and 8240. First we will calculate the prime factors of 8232 and 8240.

Prime Factorization of 8232

Prime factors of 8232 are 2, 3, 7. Prime factorization of 8232 in exponential form is:

8232 = 23 × 31 × 73

Prime Factorization of 8240

Prime factors of 8240 are 2, 5, 103. Prime factorization of 8240 in exponential form is:

8240 = 24 × 51 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 8232 and 8240.

LCM(8232,8240) = 24 × 31 × 73 × 51 × 1031
LCM(8232,8240) = 8478960