What is the Least Common Multiple of 70583 and 70588?

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 70583 and 70588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70583 and 70588, than apply into the LCM equation.

GCF(70583,70588) = 1
LCM(70583,70588) = ( 70583 × 70588) / 1
LCM(70583,70588) = 4982312804 / 1
LCM(70583,70588) = 4982312804

Least Common Multiple (LCM) of 70583 and 70588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70583 and 70588. First we will calculate the prime factors of 70583 and 70588.

Prime Factorization of 70583

Prime Factorization of 70588

Now multiplying the highest exponent prime factors to calculate the LCM of 70583 and 70588.

LCM(70583,70588) = 70583¹ × 2² × 7¹ × 2521¹
LCM(70583,70588) = 4982312804