GCF and LCM Calculator Logo

What is the Least Common Multiple of 1050 and 1064?

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 1050 and 1064 is 79800.

LCM(1050,1064) = 79800

LCM Calculator and
and

Least Common Multiple of 1050 and 1064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1050 and 1064, than apply into the LCM equation.

GCF(1050,1064) = 14
LCM(1050,1064) = ( 1050 × 1064) / 14
LCM(1050,1064) = 1117200 / 14
LCM(1050,1064) = 79800

Least Common Multiple (LCM) of 1050 and 1064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1050 and 1064. First we will calculate the prime factors of 1050 and 1064.

Prime Factorization of 1050

Prime factors of 1050 are 2, 3, 5, 7. Prime factorization of 1050 in exponential form is:

1050 = 21 × 31 × 52 × 71

Prime Factorization of 1064

Prime factors of 1064 are 2, 7, 19. Prime factorization of 1064 in exponential form is:

1064 = 23 × 71 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 1050 and 1064.

LCM(1050,1064) = 23 × 31 × 52 × 71 × 191
LCM(1050,1064) = 79800