What is the Least Common Multiple of 70550 and 70570?

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 70550 and 70570 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70550 and 70570, than apply into the LCM equation.

GCF(70550,70570) = 10
LCM(70550,70570) = ( 70550 × 70570) / 10
LCM(70550,70570) = 4978713500 / 10
LCM(70550,70570) = 497871350

Least Common Multiple (LCM) of 70550 and 70570 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70550 and 70570. First we will calculate the prime factors of 70550 and 70570.

Prime Factorization of 70550

Prime Factorization of 70570

Now multiplying the highest exponent prime factors to calculate the LCM of 70550 and 70570.

LCM(70550,70570) = 2¹ × 5² × 17¹ × 83¹ × 7057¹
LCM(70550,70570) = 497871350