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What is the Least Common Multiple of 1943 and 1953?

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 1943 and 1953 is 3794679.

LCM(1943,1953) = 3794679

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Least Common Multiple of 1943 and 1953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1943 and 1953, than apply into the LCM equation.

GCF(1943,1953) = 1
LCM(1943,1953) = ( 1943 × 1953) / 1
LCM(1943,1953) = 3794679 / 1
LCM(1943,1953) = 3794679

Least Common Multiple (LCM) of 1943 and 1953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1943 and 1953. First we will calculate the prime factors of 1943 and 1953.

Prime Factorization of 1943

Prime factors of 1943 are 29, 67. Prime factorization of 1943 in exponential form is:

1943 = 291 × 671

Prime Factorization of 1953

Prime factors of 1953 are 3, 7, 31. Prime factorization of 1953 in exponential form is:

1953 = 32 × 71 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 1943 and 1953.

LCM(1943,1953) = 291 × 671 × 32 × 71 × 311
LCM(1943,1953) = 3794679