What is the Least Common Multiple of 29488 and 29498?

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 29488 and 29498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29488 and 29498, than apply into the LCM equation.

GCF(29488,29498) = 2
LCM(29488,29498) = ( 29488 × 29498) / 2
LCM(29488,29498) = 869837024 / 2
LCM(29488,29498) = 434918512

Least Common Multiple (LCM) of 29488 and 29498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29488 and 29498. First we will calculate the prime factors of 29488 and 29498.

Prime Factorization of 29488

Prime Factorization of 29498

Now multiplying the highest exponent prime factors to calculate the LCM of 29488 and 29498.

LCM(29488,29498) = 2⁴ × 19¹ × 97¹ × 7³ × 43¹
LCM(29488,29498) = 434918512