What is the Least Common Multiple of 49470 and 49489?

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 49470 and 49489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49470 and 49489, than apply into the LCM equation.

GCF(49470,49489) = 1
LCM(49470,49489) = ( 49470 × 49489) / 1
LCM(49470,49489) = 2448220830 / 1
LCM(49470,49489) = 2448220830

Least Common Multiple (LCM) of 49470 and 49489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49470 and 49489. First we will calculate the prime factors of 49470 and 49489.

Prime Factorization of 49470

Prime Factorization of 49489

Now multiplying the highest exponent prime factors to calculate the LCM of 49470 and 49489.

LCM(49470,49489) = 2¹ × 3¹ × 5¹ × 17¹ × 97¹ × 11² × 409¹
LCM(49470,49489) = 2448220830