What is the Least Common Multiple of 21088 and 21101?

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 21088 and 21101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21088 and 21101, than apply into the LCM equation.

GCF(21088,21101) = 1
LCM(21088,21101) = ( 21088 × 21101) / 1
LCM(21088,21101) = 444977888 / 1
LCM(21088,21101) = 444977888

Least Common Multiple (LCM) of 21088 and 21101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21088 and 21101. First we will calculate the prime factors of 21088 and 21101.

Prime Factorization of 21088

Prime Factorization of 21101

Now multiplying the highest exponent prime factors to calculate the LCM of 21088 and 21101.

LCM(21088,21101) = 2⁵ × 659¹ × 21101¹
LCM(21088,21101) = 444977888