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What is the Least Common Multiple of 1078 and 1098?

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 1078 and 1098 is 591822.

LCM(1078,1098) = 591822

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Least Common Multiple of 1078 and 1098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1078 and 1098, than apply into the LCM equation.

GCF(1078,1098) = 2
LCM(1078,1098) = ( 1078 × 1098) / 2
LCM(1078,1098) = 1183644 / 2
LCM(1078,1098) = 591822

Least Common Multiple (LCM) of 1078 and 1098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1078 and 1098. First we will calculate the prime factors of 1078 and 1098.

Prime Factorization of 1078

Prime factors of 1078 are 2, 7, 11. Prime factorization of 1078 in exponential form is:

1078 = 21 × 72 × 111

Prime Factorization of 1098

Prime factors of 1098 are 2, 3, 61. Prime factorization of 1098 in exponential form is:

1098 = 21 × 32 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 1078 and 1098.

LCM(1078,1098) = 21 × 72 × 111 × 32 × 611
LCM(1078,1098) = 591822