What is the Least Common Multiple of 21095 and 21110?

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 21095 and 21110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21095 and 21110, than apply into the LCM equation.

GCF(21095,21110) = 5
LCM(21095,21110) = ( 21095 × 21110) / 5
LCM(21095,21110) = 445315450 / 5
LCM(21095,21110) = 89063090

Least Common Multiple (LCM) of 21095 and 21110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21095 and 21110. First we will calculate the prime factors of 21095 and 21110.

Prime Factorization of 21095

Prime Factorization of 21110

Now multiplying the highest exponent prime factors to calculate the LCM of 21095 and 21110.

LCM(21095,21110) = 5¹ × 4219¹ × 2¹ × 2111¹
LCM(21095,21110) = 89063090