What is the Least Common Multiple of 29514 and 29534?

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 29514 and 29534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29514 and 29534, than apply into the LCM equation.

GCF(29514,29534) = 2
LCM(29514,29534) = ( 29514 × 29534) / 2
LCM(29514,29534) = 871666476 / 2
LCM(29514,29534) = 435833238

Least Common Multiple (LCM) of 29514 and 29534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29514 and 29534. First we will calculate the prime factors of 29514 and 29534.

Prime Factorization of 29514

Prime Factorization of 29534

Now multiplying the highest exponent prime factors to calculate the LCM of 29514 and 29534.

LCM(29514,29534) = 2¹ × 3¹ × 4919¹ × 14767¹
LCM(29514,29534) = 435833238