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What is the Least Common Multiple of 1916 and 1921?

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 1916 and 1921 is 3680636.

LCM(1916,1921) = 3680636

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Least Common Multiple of 1916 and 1921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1916 and 1921, than apply into the LCM equation.

GCF(1916,1921) = 1
LCM(1916,1921) = ( 1916 × 1921) / 1
LCM(1916,1921) = 3680636 / 1
LCM(1916,1921) = 3680636

Least Common Multiple (LCM) of 1916 and 1921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1916 and 1921. First we will calculate the prime factors of 1916 and 1921.

Prime Factorization of 1916

Prime factors of 1916 are 2, 479. Prime factorization of 1916 in exponential form is:

1916 = 22 × 4791

Prime Factorization of 1921

Prime factors of 1921 are 17, 113. Prime factorization of 1921 in exponential form is:

1921 = 171 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 1916 and 1921.

LCM(1916,1921) = 22 × 4791 × 171 × 1131
LCM(1916,1921) = 3680636