What is the Least Common Multiple of 1400 and 1411?

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 1400 and 1411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1400 and 1411, than apply into the LCM equation.

GCF(1400,1411) = 1
LCM(1400,1411) = ( 1400 × 1411) / 1
LCM(1400,1411) = 1975400 / 1
LCM(1400,1411) = 1975400

Least Common Multiple (LCM) of 1400 and 1411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1400 and 1411. First we will calculate the prime factors of 1400 and 1411.

Prime Factorization of 1400

Prime Factorization of 1411

Now multiplying the highest exponent prime factors to calculate the LCM of 1400 and 1411.

LCM(1400,1411) = 2³ × 5² × 7¹ × 17¹ × 83¹
LCM(1400,1411) = 1975400