What is the Least Common Multiple of 70049 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 70049 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 70049 and 70055, than apply into the LCM equation.

GCF(70049,70055) = 1
LCM(70049,70055) = ( 70049 × 70055) / 1
LCM(70049,70055) = 4907282695 / 1
LCM(70049,70055) = 4907282695

Least Common Multiple (LCM) of 70049 and 70055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70049 and 70055. First we will calculate the prime factors of 70049 and 70055.

Prime Factorization of 70049

Prime Factorization of 70055

Now multiplying the highest exponent prime factors to calculate the LCM of 70049 and 70055.

LCM(70049,70055) = 7¹ × 10007¹ × 5¹ × 14011¹
LCM(70049,70055) = 4907282695