What is the Least Common Multiple of 1382 and 1402?

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 of 1382 and 1402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1382 and 1402, than apply into the LCM equation.

GCF(1382,1402) = 2
LCM(1382,1402) = ( 1382 × 1402) / 2
LCM(1382,1402) = 1937564 / 2
LCM(1382,1402) = 968782

Least Common Multiple (LCM) of 1382 and 1402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1382 and 1402. First we will calculate the prime factors of 1382 and 1402.

Prime Factorization of 1382

Prime Factorization of 1402

Now multiplying the highest exponent prime factors to calculate the LCM of 1382 and 1402.

LCM(1382,1402) = 2¹ × 691¹ × 701¹
LCM(1382,1402) = 968782