What is the Least Common Multiple of 20350 and 20366?

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 20350 and 20366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20350 and 20366, than apply into the LCM equation.

GCF(20350,20366) = 2
LCM(20350,20366) = ( 20350 × 20366) / 2
LCM(20350,20366) = 414448100 / 2
LCM(20350,20366) = 207224050

Least Common Multiple (LCM) of 20350 and 20366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20350 and 20366. First we will calculate the prime factors of 20350 and 20366.

Prime Factorization of 20350

Prime Factorization of 20366

Now multiplying the highest exponent prime factors to calculate the LCM of 20350 and 20366.

LCM(20350,20366) = 2¹ × 5² × 11¹ × 37¹ × 17¹ × 599¹
LCM(20350,20366) = 207224050