What is the Least Common Multiple of 22038 and 22050?

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 22038 and 22050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22038 and 22050, than apply into the LCM equation.

GCF(22038,22050) = 6
LCM(22038,22050) = ( 22038 × 22050) / 6
LCM(22038,22050) = 485937900 / 6
LCM(22038,22050) = 80989650

Least Common Multiple (LCM) of 22038 and 22050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22038 and 22050. First we will calculate the prime factors of 22038 and 22050.

Prime Factorization of 22038

Prime Factorization of 22050

Now multiplying the highest exponent prime factors to calculate the LCM of 22038 and 22050.

LCM(22038,22050) = 2¹ × 3² × 3673¹ × 5² × 7²
LCM(22038,22050) = 80989650