What is the Least Common Multiple of 22156 and 22172?

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 22156 and 22172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22156 and 22172, than apply into the LCM equation.

GCF(22156,22172) = 4
LCM(22156,22172) = ( 22156 × 22172) / 4
LCM(22156,22172) = 491242832 / 4
LCM(22156,22172) = 122810708

Least Common Multiple (LCM) of 22156 and 22172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22156 and 22172. First we will calculate the prime factors of 22156 and 22172.

Prime Factorization of 22156

Prime Factorization of 22172

Now multiplying the highest exponent prime factors to calculate the LCM of 22156 and 22172.

LCM(22156,22172) = 2² × 29¹ × 191¹ × 23¹ × 241¹
LCM(22156,22172) = 122810708