What is the Least Common Multiple of 22109 and 22120?

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 22109 and 22120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22109 and 22120, than apply into the LCM equation.

GCF(22109,22120) = 1
LCM(22109,22120) = ( 22109 × 22120) / 1
LCM(22109,22120) = 489051080 / 1
LCM(22109,22120) = 489051080

Least Common Multiple (LCM) of 22109 and 22120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22109 and 22120. First we will calculate the prime factors of 22109 and 22120.

Prime Factorization of 22109

Prime Factorization of 22120

Now multiplying the highest exponent prime factors to calculate the LCM of 22109 and 22120.

LCM(22109,22120) = 22109¹ × 2³ × 5¹ × 7¹ × 79¹
LCM(22109,22120) = 489051080