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What is the Least Common Multiple of 1949 and 1956?

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 1949 and 1956 is 3812244.

LCM(1949,1956) = 3812244

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Least Common Multiple of 1949 and 1956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1949 and 1956, than apply into the LCM equation.

GCF(1949,1956) = 1
LCM(1949,1956) = ( 1949 × 1956) / 1
LCM(1949,1956) = 3812244 / 1
LCM(1949,1956) = 3812244

Least Common Multiple (LCM) of 1949 and 1956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1949 and 1956. First we will calculate the prime factors of 1949 and 1956.

Prime Factorization of 1949

Prime factors of 1949 are 1949. Prime factorization of 1949 in exponential form is:

1949 = 19491

Prime Factorization of 1956

Prime factors of 1956 are 2, 3, 163. Prime factorization of 1956 in exponential form is:

1956 = 22 × 31 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 1949 and 1956.

LCM(1949,1956) = 19491 × 22 × 31 × 1631
LCM(1949,1956) = 3812244