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What is the Least Common Multiple of 1925 and 1940?

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 1925 and 1940 is 746900.

LCM(1925,1940) = 746900

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Least Common Multiple of 1925 and 1940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1925 and 1940, than apply into the LCM equation.

GCF(1925,1940) = 5
LCM(1925,1940) = ( 1925 × 1940) / 5
LCM(1925,1940) = 3734500 / 5
LCM(1925,1940) = 746900

Least Common Multiple (LCM) of 1925 and 1940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1925 and 1940. First we will calculate the prime factors of 1925 and 1940.

Prime Factorization of 1925

Prime factors of 1925 are 5, 7, 11. Prime factorization of 1925 in exponential form is:

1925 = 52 × 71 × 111

Prime Factorization of 1940

Prime factors of 1940 are 2, 5, 97. Prime factorization of 1940 in exponential form is:

1940 = 22 × 51 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 1925 and 1940.

LCM(1925,1940) = 52 × 71 × 111 × 22 × 971
LCM(1925,1940) = 746900