What is the Least Common Multiple of 1414 and 1430?

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 1414 and 1430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1414 and 1430, than apply into the LCM equation.

GCF(1414,1430) = 2
LCM(1414,1430) = ( 1414 × 1430) / 2
LCM(1414,1430) = 2022020 / 2
LCM(1414,1430) = 1011010

Least Common Multiple (LCM) of 1414 and 1430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1414 and 1430. First we will calculate the prime factors of 1414 and 1430.

Prime Factorization of 1414

Prime Factorization of 1430

Now multiplying the highest exponent prime factors to calculate the LCM of 1414 and 1430.

LCM(1414,1430) = 2¹ × 7¹ × 101¹ × 5¹ × 11¹ × 13¹
LCM(1414,1430) = 1011010