What is the Least Common Multiple of 70021 and 70033?

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 70021 and 70033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70021 and 70033, than apply into the LCM equation.

GCF(70021,70033) = 1
LCM(70021,70033) = ( 70021 × 70033) / 1
LCM(70021,70033) = 4903780693 / 1
LCM(70021,70033) = 4903780693

Least Common Multiple (LCM) of 70021 and 70033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70021 and 70033. First we will calculate the prime factors of 70021 and 70033.

Prime Factorization of 70021

Prime Factorization of 70033

Now multiplying the highest exponent prime factors to calculate the LCM of 70021 and 70033.

LCM(70021,70033) = 7² × 1429¹ × 59¹ × 1187¹
LCM(70021,70033) = 4903780693