What is the Least Common Multiple of 85490 and 85509?

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 85490 and 85509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85490 and 85509, than apply into the LCM equation.

GCF(85490,85509) = 1
LCM(85490,85509) = ( 85490 × 85509) / 1
LCM(85490,85509) = 7310164410 / 1
LCM(85490,85509) = 7310164410

Least Common Multiple (LCM) of 85490 and 85509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85490 and 85509. First we will calculate the prime factors of 85490 and 85509.

Prime Factorization of 85490

Prime Factorization of 85509

Now multiplying the highest exponent prime factors to calculate the LCM of 85490 and 85509.

LCM(85490,85509) = 2¹ × 5¹ × 83¹ × 103¹ × 3³ × 3167¹
LCM(85490,85509) = 7310164410