What is the Least Common Multiple of 70490 and 70509?

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 70490 and 70509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70490 and 70509, than apply into the LCM equation.

GCF(70490,70509) = 19
LCM(70490,70509) = ( 70490 × 70509) / 19
LCM(70490,70509) = 4970179410 / 19
LCM(70490,70509) = 261588390

Least Common Multiple (LCM) of 70490 and 70509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70490 and 70509. First we will calculate the prime factors of 70490 and 70509.

Prime Factorization of 70490

Prime Factorization of 70509

Now multiplying the highest exponent prime factors to calculate the LCM of 70490 and 70509.

LCM(70490,70509) = 2¹ × 5¹ × 7¹ × 19¹ × 53¹ × 3¹ × 1237¹
LCM(70490,70509) = 261588390