What is the Least Common Multiple of 71046 and 71055?

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 71046 and 71055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71046 and 71055, than apply into the LCM equation.

GCF(71046,71055) = 9
LCM(71046,71055) = ( 71046 × 71055) / 9
LCM(71046,71055) = 5048173530 / 9
LCM(71046,71055) = 560908170

Least Common Multiple (LCM) of 71046 and 71055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71046 and 71055. First we will calculate the prime factors of 71046 and 71055.

Prime Factorization of 71046

Prime Factorization of 71055

Now multiplying the highest exponent prime factors to calculate the LCM of 71046 and 71055.

LCM(71046,71055) = 2¹ × 3² × 3947¹ × 5¹ × 1579¹
LCM(71046,71055) = 560908170