What is the Least Common Multiple of 71470 and 71490?

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 71470 and 71490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71470 and 71490, than apply into the LCM equation.

GCF(71470,71490) = 10
LCM(71470,71490) = ( 71470 × 71490) / 10
LCM(71470,71490) = 5109390300 / 10
LCM(71470,71490) = 510939030

Least Common Multiple (LCM) of 71470 and 71490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71470 and 71490. First we will calculate the prime factors of 71470 and 71490.

Prime Factorization of 71470

Prime Factorization of 71490

Now multiplying the highest exponent prime factors to calculate the LCM of 71470 and 71490.

LCM(71470,71490) = 2¹ × 5¹ × 7¹ × 1021¹ × 3¹ × 2383¹
LCM(71470,71490) = 510939030