What is the Least Common Multiple of 21035 and 21055?

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 21035 and 21055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21035 and 21055, than apply into the LCM equation.

GCF(21035,21055) = 5
LCM(21035,21055) = ( 21035 × 21055) / 5
LCM(21035,21055) = 442891925 / 5
LCM(21035,21055) = 88578385

Least Common Multiple (LCM) of 21035 and 21055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21035 and 21055. First we will calculate the prime factors of 21035 and 21055.

Prime Factorization of 21035

Prime Factorization of 21055

Now multiplying the highest exponent prime factors to calculate the LCM of 21035 and 21055.

LCM(21035,21055) = 5¹ × 7¹ × 601¹ × 4211¹
LCM(21035,21055) = 88578385