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Least Common Multiple of 1225 and 1236

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 1236 is 1514100.

LCM(1225,1236) = 1514100

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Least Common Multiple of 1225 and 1236 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 1236, than apply into the LCM equation.

GCF(1225,1236) = 1
LCM(1225,1236) = ( 1225 × 1236) / 1
LCM(1225,1236) = 1514100 / 1
LCM(1225,1236) = 1514100

Least Common Multiple (LCM) of 1225 and 1236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1225 and 1236. First we will calculate the prime factors of 1225 and 1236.

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 1236

Prime factors of 1236 are 2, 3, 103. Prime factorization of 1236 in exponential form is:

1236 = 22 × 31 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 1225 and 1236.

LCM(1225,1236) = 52 × 72 × 22 × 31 × 1031
LCM(1225,1236) = 1514100

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