What is the Least Common Multiple of 21676 and 21686?

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 21676 and 21686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21676 and 21686, than apply into the LCM equation.

GCF(21676,21686) = 2
LCM(21676,21686) = ( 21676 × 21686) / 2
LCM(21676,21686) = 470065736 / 2
LCM(21676,21686) = 235032868

Least Common Multiple (LCM) of 21676 and 21686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21676 and 21686. First we will calculate the prime factors of 21676 and 21686.

Prime Factorization of 21676

Prime Factorization of 21686

Now multiplying the highest exponent prime factors to calculate the LCM of 21676 and 21686.

LCM(21676,21686) = 2² × 5419¹ × 7¹ × 1549¹
LCM(21676,21686) = 235032868