What is the Least Common Multiple of 40055 and 40070?

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 40055 and 40070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40055 and 40070, than apply into the LCM equation.

GCF(40055,40070) = 5
LCM(40055,40070) = ( 40055 × 40070) / 5
LCM(40055,40070) = 1605003850 / 5
LCM(40055,40070) = 321000770

Least Common Multiple (LCM) of 40055 and 40070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40055 and 40070. First we will calculate the prime factors of 40055 and 40070.

Prime Factorization of 40055

Prime Factorization of 40070

Now multiplying the highest exponent prime factors to calculate the LCM of 40055 and 40070.

LCM(40055,40070) = 5¹ × 8011¹ × 2¹ × 4007¹
LCM(40055,40070) = 321000770