What is the Least Common Multiple of 49475 and 49490?

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 49475 and 49490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49475 and 49490, than apply into the LCM equation.

GCF(49475,49490) = 5
LCM(49475,49490) = ( 49475 × 49490) / 5
LCM(49475,49490) = 2448517750 / 5
LCM(49475,49490) = 489703550

Least Common Multiple (LCM) of 49475 and 49490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49475 and 49490. First we will calculate the prime factors of 49475 and 49490.

Prime Factorization of 49475

Prime Factorization of 49490

Now multiplying the highest exponent prime factors to calculate the LCM of 49475 and 49490.

LCM(49475,49490) = 5² × 1979¹ × 2¹ × 7² × 101¹
LCM(49475,49490) = 489703550