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Least Common Multiple of 1225 and 1234

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 1234 is 1511650.

LCM(1225,1234) = 1511650

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Least Common Multiple of 1225 and 1234 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 1234, than apply into the LCM equation.

GCF(1225,1234) = 1
LCM(1225,1234) = ( 1225 × 1234) / 1
LCM(1225,1234) = 1511650 / 1
LCM(1225,1234) = 1511650

Least Common Multiple (LCM) of 1225 and 1234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1225 and 1234. First we will calculate the prime factors of 1225 and 1234.

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 1234

Prime factors of 1234 are 2, 617. Prime factorization of 1234 in exponential form is:

1234 = 21 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 1225 and 1234.

LCM(1225,1234) = 52 × 72 × 21 × 6171
LCM(1225,1234) = 1511650

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