What is the Least Common Multiple of 49496 and 49502?

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 49496 and 49502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49496 and 49502, than apply into the LCM equation.

GCF(49496,49502) = 2
LCM(49496,49502) = ( 49496 × 49502) / 2
LCM(49496,49502) = 2450150992 / 2
LCM(49496,49502) = 1225075496

Least Common Multiple (LCM) of 49496 and 49502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49496 and 49502. First we will calculate the prime factors of 49496 and 49502.

Prime Factorization of 49496

Prime Factorization of 49502

Now multiplying the highest exponent prime factors to calculate the LCM of 49496 and 49502.

LCM(49496,49502) = 2³ × 23¹ × 269¹ × 53¹ × 467¹
LCM(49496,49502) = 1225075496