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What is the Least Common Multiple of 1122 and 1142?

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 1122 and 1142 is 640662.

LCM(1122,1142) = 640662

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Least Common Multiple of 1122 and 1142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1122 and 1142, than apply into the LCM equation.

GCF(1122,1142) = 2
LCM(1122,1142) = ( 1122 × 1142) / 2
LCM(1122,1142) = 1281324 / 2
LCM(1122,1142) = 640662

Least Common Multiple (LCM) of 1122 and 1142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1122 and 1142. First we will calculate the prime factors of 1122 and 1142.

Prime Factorization of 1122

Prime factors of 1122 are 2, 3, 11, 17. Prime factorization of 1122 in exponential form is:

1122 = 21 × 31 × 111 × 171

Prime Factorization of 1142

Prime factors of 1142 are 2, 571. Prime factorization of 1142 in exponential form is:

1142 = 21 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 1122 and 1142.

LCM(1122,1142) = 21 × 31 × 111 × 171 × 5711
LCM(1122,1142) = 640662