What is the Least Common Multiple of 57490 and 57509?

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 57490 and 57509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57490 and 57509, than apply into the LCM equation.

GCF(57490,57509) = 1
LCM(57490,57509) = ( 57490 × 57509) / 1
LCM(57490,57509) = 3306192410 / 1
LCM(57490,57509) = 3306192410

Least Common Multiple (LCM) of 57490 and 57509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57490 and 57509. First we will calculate the prime factors of 57490 and 57509.

Prime Factorization of 57490

Prime Factorization of 57509

Now multiplying the highest exponent prime factors to calculate the LCM of 57490 and 57509.

LCM(57490,57509) = 2¹ × 5¹ × 5749¹ × 131¹ × 439¹
LCM(57490,57509) = 3306192410