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What is the Least Common Multiple of 1969 and 1983?

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 1969 and 1983 is 3904527.

LCM(1969,1983) = 3904527

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Least Common Multiple of 1969 and 1983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1969 and 1983, than apply into the LCM equation.

GCF(1969,1983) = 1
LCM(1969,1983) = ( 1969 × 1983) / 1
LCM(1969,1983) = 3904527 / 1
LCM(1969,1983) = 3904527

Least Common Multiple (LCM) of 1969 and 1983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1969 and 1983. First we will calculate the prime factors of 1969 and 1983.

Prime Factorization of 1969

Prime factors of 1969 are 11, 179. Prime factorization of 1969 in exponential form is:

1969 = 111 × 1791

Prime Factorization of 1983

Prime factors of 1983 are 3, 661. Prime factorization of 1983 in exponential form is:

1983 = 31 × 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 1969 and 1983.

LCM(1969,1983) = 111 × 1791 × 31 × 6611
LCM(1969,1983) = 3904527