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Least Common Multiple of 1225 and 1239

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 1225 and 1239 is 216825.

LCM(1225,1239) = 216825

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Least Common Multiple of 1225 and 1239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1225 and 1239, than apply into the LCM equation.

GCF(1225,1239) = 7
LCM(1225,1239) = ( 1225 × 1239) / 7
LCM(1225,1239) = 1517775 / 7
LCM(1225,1239) = 216825

Least Common Multiple (LCM) of 1225 and 1239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1225 and 1239. First we will calculate the prime factors of 1225 and 1239.

Prime Factorization of 1225

Prime factors of 1225 are 5, 7. Prime factorization of 1225 in exponential form is:

1225 = 52 × 72

Prime Factorization of 1239

Prime factors of 1239 are 3, 7, 59. Prime factorization of 1239 in exponential form is:

1239 = 31 × 71 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 1225 and 1239.

LCM(1225,1239) = 52 × 72 × 31 × 591
LCM(1225,1239) = 216825

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