What is the Least Common Multiple of 29498 and 29503?

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 29498 and 29503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29498 and 29503, than apply into the LCM equation.

GCF(29498,29503) = 1
LCM(29498,29503) = ( 29498 × 29503) / 1
LCM(29498,29503) = 870279494 / 1
LCM(29498,29503) = 870279494

Least Common Multiple (LCM) of 29498 and 29503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29498 and 29503. First we will calculate the prime factors of 29498 and 29503.

Prime Factorization of 29498

Prime Factorization of 29503

Now multiplying the highest exponent prime factors to calculate the LCM of 29498 and 29503.

LCM(29498,29503) = 2¹ × 7³ × 43¹ × 163¹ × 181¹
LCM(29498,29503) = 870279494