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What is the Least Common Multiple of 1877 and 1897?

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 1877 and 1897 is 3560669.

LCM(1877,1897) = 3560669

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Least Common Multiple of 1877 and 1897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1877 and 1897, than apply into the LCM equation.

GCF(1877,1897) = 1
LCM(1877,1897) = ( 1877 × 1897) / 1
LCM(1877,1897) = 3560669 / 1
LCM(1877,1897) = 3560669

Least Common Multiple (LCM) of 1877 and 1897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1877 and 1897. First we will calculate the prime factors of 1877 and 1897.

Prime Factorization of 1877

Prime factors of 1877 are 1877. Prime factorization of 1877 in exponential form is:

1877 = 18771

Prime Factorization of 1897

Prime factors of 1897 are 7, 271. Prime factorization of 1897 in exponential form is:

1897 = 71 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 1877 and 1897.

LCM(1877,1897) = 18771 × 71 × 2711
LCM(1877,1897) = 3560669