GCF and LCM Calculator Logo

What is the Least Common Multiple of 1046 and 1050?

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 1046 and 1050 is 549150.

LCM(1046,1050) = 549150

LCM Calculator and
and

Least Common Multiple of 1046 and 1050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1046 and 1050, than apply into the LCM equation.

GCF(1046,1050) = 2
LCM(1046,1050) = ( 1046 × 1050) / 2
LCM(1046,1050) = 1098300 / 2
LCM(1046,1050) = 549150

Least Common Multiple (LCM) of 1046 and 1050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1046 and 1050. First we will calculate the prime factors of 1046 and 1050.

Prime Factorization of 1046

Prime factors of 1046 are 2, 523. Prime factorization of 1046 in exponential form is:

1046 = 21 × 5231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1046 and 1050.

LCM(1046,1050) = 21 × 5231 × 31 × 52 × 71
LCM(1046,1050) = 549150