What is the Least Common Multiple of 22050 and 22070?

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 22050 and 22070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22050 and 22070, than apply into the LCM equation.

GCF(22050,22070) = 10
LCM(22050,22070) = ( 22050 × 22070) / 10
LCM(22050,22070) = 486643500 / 10
LCM(22050,22070) = 48664350

Least Common Multiple (LCM) of 22050 and 22070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22050 and 22070. First we will calculate the prime factors of 22050 and 22070.

Prime Factorization of 22050

Prime Factorization of 22070

Now multiplying the highest exponent prime factors to calculate the LCM of 22050 and 22070.

LCM(22050,22070) = 2¹ × 3² × 5² × 7² × 2207¹
LCM(22050,22070) = 48664350