What is the Least Common Multiple of 20695 and 20699?

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 20695 and 20699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20695 and 20699, than apply into the LCM equation.

GCF(20695,20699) = 1
LCM(20695,20699) = ( 20695 × 20699) / 1
LCM(20695,20699) = 428365805 / 1
LCM(20695,20699) = 428365805

Least Common Multiple (LCM) of 20695 and 20699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20695 and 20699. First we will calculate the prime factors of 20695 and 20699.

Prime Factorization of 20695

Prime Factorization of 20699

Now multiplying the highest exponent prime factors to calculate the LCM of 20695 and 20699.

LCM(20695,20699) = 5¹ × 4139¹ × 7¹ × 2957¹
LCM(20695,20699) = 428365805