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What is the Least Common Multiple of 1926 and 1945?

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 1926 and 1945 is 3746070.

LCM(1926,1945) = 3746070

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Least Common Multiple of 1926 and 1945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1926 and 1945, than apply into the LCM equation.

GCF(1926,1945) = 1
LCM(1926,1945) = ( 1926 × 1945) / 1
LCM(1926,1945) = 3746070 / 1
LCM(1926,1945) = 3746070

Least Common Multiple (LCM) of 1926 and 1945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1926 and 1945. First we will calculate the prime factors of 1926 and 1945.

Prime Factorization of 1926

Prime factors of 1926 are 2, 3, 107. Prime factorization of 1926 in exponential form is:

1926 = 21 × 32 × 1071

Prime Factorization of 1945

Prime factors of 1945 are 5, 389. Prime factorization of 1945 in exponential form is:

1945 = 51 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 1926 and 1945.

LCM(1926,1945) = 21 × 32 × 1071 × 51 × 3891
LCM(1926,1945) = 3746070