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What is the Least Common Multiple of 1052 and 1067?

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 1052 and 1067 is 1122484.

LCM(1052,1067) = 1122484

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Least Common Multiple of 1052 and 1067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1052 and 1067, than apply into the LCM equation.

GCF(1052,1067) = 1
LCM(1052,1067) = ( 1052 × 1067) / 1
LCM(1052,1067) = 1122484 / 1
LCM(1052,1067) = 1122484

Least Common Multiple (LCM) of 1052 and 1067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1052 and 1067. First we will calculate the prime factors of 1052 and 1067.

Prime Factorization of 1052

Prime factors of 1052 are 2, 263. Prime factorization of 1052 in exponential form is:

1052 = 22 × 2631

Prime Factorization of 1067

Prime factors of 1067 are 11, 97. Prime factorization of 1067 in exponential form is:

1067 = 111 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 1052 and 1067.

LCM(1052,1067) = 22 × 2631 × 111 × 971
LCM(1052,1067) = 1122484