GCF and LCM Calculator Logo

What is the Least Common Multiple of 1862 and 1877?

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 1862 and 1877 is 3494974.

LCM(1862,1877) = 3494974

LCM Calculator and
and

Least Common Multiple of 1862 and 1877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1862 and 1877, than apply into the LCM equation.

GCF(1862,1877) = 1
LCM(1862,1877) = ( 1862 × 1877) / 1
LCM(1862,1877) = 3494974 / 1
LCM(1862,1877) = 3494974

Least Common Multiple (LCM) of 1862 and 1877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1862 and 1877. First we will calculate the prime factors of 1862 and 1877.

Prime Factorization of 1862

Prime factors of 1862 are 2, 7, 19. Prime factorization of 1862 in exponential form is:

1862 = 21 × 72 × 191

Prime Factorization of 1877

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

1877 = 18771

Now multiplying the highest exponent prime factors to calculate the LCM of 1862 and 1877.

LCM(1862,1877) = 21 × 72 × 191 × 18771
LCM(1862,1877) = 3494974