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What is the Least Common Multiple of 1958 and 1963?

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 1958 and 1963 is 3843554.

LCM(1958,1963) = 3843554

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Least Common Multiple of 1958 and 1963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1958 and 1963, than apply into the LCM equation.

GCF(1958,1963) = 1
LCM(1958,1963) = ( 1958 × 1963) / 1
LCM(1958,1963) = 3843554 / 1
LCM(1958,1963) = 3843554

Least Common Multiple (LCM) of 1958 and 1963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1958 and 1963. First we will calculate the prime factors of 1958 and 1963.

Prime Factorization of 1958

Prime factors of 1958 are 2, 11, 89. Prime factorization of 1958 in exponential form is:

1958 = 21 × 111 × 891

Prime Factorization of 1963

Prime factors of 1963 are 13, 151. Prime factorization of 1963 in exponential form is:

1963 = 131 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 1958 and 1963.

LCM(1958,1963) = 21 × 111 × 891 × 131 × 1511
LCM(1958,1963) = 3843554