What is the Least Common Multiple of 1390 and 1398?

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 1390 and 1398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1390 and 1398, than apply into the LCM equation.

GCF(1390,1398) = 2
LCM(1390,1398) = ( 1390 × 1398) / 2
LCM(1390,1398) = 1943220 / 2
LCM(1390,1398) = 971610

Least Common Multiple (LCM) of 1390 and 1398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1390 and 1398. First we will calculate the prime factors of 1390 and 1398.

Prime Factorization of 1390

Prime Factorization of 1398

Now multiplying the highest exponent prime factors to calculate the LCM of 1390 and 1398.

LCM(1390,1398) = 2¹ × 5¹ × 139¹ × 3¹ × 233¹
LCM(1390,1398) = 971610