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What is the Least Common Multiple of 1973 and 1980?

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 1973 and 1980 is 3906540.

LCM(1973,1980) = 3906540

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Least Common Multiple of 1973 and 1980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1973 and 1980, than apply into the LCM equation.

GCF(1973,1980) = 1
LCM(1973,1980) = ( 1973 × 1980) / 1
LCM(1973,1980) = 3906540 / 1
LCM(1973,1980) = 3906540

Least Common Multiple (LCM) of 1973 and 1980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1973 and 1980. First we will calculate the prime factors of 1973 and 1980.

Prime Factorization of 1973

Prime factors of 1973 are 1973. Prime factorization of 1973 in exponential form is:

1973 = 19731

Prime Factorization of 1980

Prime factors of 1980 are 2, 3, 5, 11. Prime factorization of 1980 in exponential form is:

1980 = 22 × 32 × 51 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 1973 and 1980.

LCM(1973,1980) = 19731 × 22 × 32 × 51 × 111
LCM(1973,1980) = 3906540