What is the Least Common Multiple of 7414 and 7434?

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 7414 and 7434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7414 and 7434, than apply into the LCM equation.

GCF(7414,7434) = 2
LCM(7414,7434) = ( 7414 × 7434) / 2
LCM(7414,7434) = 55115676 / 2
LCM(7414,7434) = 27557838

Least Common Multiple (LCM) of 7414 and 7434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7414 and 7434. First we will calculate the prime factors of 7414 and 7434.

Prime Factorization of 7414

Prime Factorization of 7434

Now multiplying the highest exponent prime factors to calculate the LCM of 7414 and 7434.

LCM(7414,7434) = 2¹ × 11¹ × 337¹ × 3² × 7¹ × 59¹
LCM(7414,7434) = 27557838