What is the Least Common Multiple of 70070 and 70083?

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 70070 and 70083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70070 and 70083, than apply into the LCM equation.

GCF(70070,70083) = 13
LCM(70070,70083) = ( 70070 × 70083) / 13
LCM(70070,70083) = 4910715810 / 13
LCM(70070,70083) = 377747370

Least Common Multiple (LCM) of 70070 and 70083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70070 and 70083. First we will calculate the prime factors of 70070 and 70083.

Prime Factorization of 70070

Prime Factorization of 70083

Now multiplying the highest exponent prime factors to calculate the LCM of 70070 and 70083.

LCM(70070,70083) = 2¹ × 5¹ × 7² × 11¹ × 13¹ × 3² × 599¹
LCM(70070,70083) = 377747370