What is the Least Common Multiple of 70050 and 70055?

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 70050 and 70055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70050 and 70055, than apply into the LCM equation.

GCF(70050,70055) = 5
LCM(70050,70055) = ( 70050 × 70055) / 5
LCM(70050,70055) = 4907352750 / 5
LCM(70050,70055) = 981470550

Least Common Multiple (LCM) of 70050 and 70055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70050 and 70055. First we will calculate the prime factors of 70050 and 70055.

Prime Factorization of 70050

Prime Factorization of 70055

Now multiplying the highest exponent prime factors to calculate the LCM of 70050 and 70055.

LCM(70050,70055) = 2¹ × 3¹ × 5² × 467¹ × 14011¹
LCM(70050,70055) = 981470550