What is the Least Common Multiple of 1414 and 1434?

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 1434 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 1434, than apply into the LCM equation.

GCF(1414,1434) = 2
LCM(1414,1434) = ( 1414 × 1434) / 2
LCM(1414,1434) = 2027676 / 2
LCM(1414,1434) = 1013838

Least Common Multiple (LCM) of 1414 and 1434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1414 and 1434. First we will calculate the prime factors of 1414 and 1434.

Prime Factorization of 1414

Prime Factorization of 1434

Now multiplying the highest exponent prime factors to calculate the LCM of 1414 and 1434.

LCM(1414,1434) = 2¹ × 7¹ × 101¹ × 3¹ × 239¹
LCM(1414,1434) = 1013838