What is the Least Common Multiple of 56055 and 56070?

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 56055 and 56070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56055 and 56070, than apply into the LCM equation.

GCF(56055,56070) = 15
LCM(56055,56070) = ( 56055 × 56070) / 15
LCM(56055,56070) = 3143003850 / 15
LCM(56055,56070) = 209533590

Least Common Multiple (LCM) of 56055 and 56070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56055 and 56070. First we will calculate the prime factors of 56055 and 56070.

Prime Factorization of 56055

Prime Factorization of 56070

Now multiplying the highest exponent prime factors to calculate the LCM of 56055 and 56070.

LCM(56055,56070) = 3² × 5¹ × 37¹ × 101¹ × 2¹ × 7¹ × 89¹
LCM(56055,56070) = 209533590