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What is the Least Common Multiple of 1956 and 1973?

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 1956 and 1973 is 3859188.

LCM(1956,1973) = 3859188

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Least Common Multiple of 1956 and 1973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1956 and 1973, than apply into the LCM equation.

GCF(1956,1973) = 1
LCM(1956,1973) = ( 1956 × 1973) / 1
LCM(1956,1973) = 3859188 / 1
LCM(1956,1973) = 3859188

Least Common Multiple (LCM) of 1956 and 1973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1956 and 1973. First we will calculate the prime factors of 1956 and 1973.

Prime Factorization of 1956

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

1956 = 22 × 31 × 1631

Prime Factorization of 1973

Prime factors of 1973 are 1973. Prime factorization of 1973 in exponential form is:

1973 = 19731

Now multiplying the highest exponent prime factors to calculate the LCM of 1956 and 1973.

LCM(1956,1973) = 22 × 31 × 1631 × 19731
LCM(1956,1973) = 3859188