What is the Least Common Multiple of 48990 and 49010?

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 48990 and 49010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48990 and 49010, than apply into the LCM equation.

GCF(48990,49010) = 10
LCM(48990,49010) = ( 48990 × 49010) / 10
LCM(48990,49010) = 2400999900 / 10
LCM(48990,49010) = 240099990

Least Common Multiple (LCM) of 48990 and 49010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48990 and 49010. First we will calculate the prime factors of 48990 and 49010.

Prime Factorization of 48990

Prime Factorization of 49010

Now multiplying the highest exponent prime factors to calculate the LCM of 48990 and 49010.

LCM(48990,49010) = 2¹ × 3¹ × 5¹ × 23¹ × 71¹ × 13² × 29¹
LCM(48990,49010) = 240099990