What is the Least Common Multiple of 62890 and 62909?

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 62890 and 62909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62890 and 62909, than apply into the LCM equation.

GCF(62890,62909) = 19
LCM(62890,62909) = ( 62890 × 62909) / 19
LCM(62890,62909) = 3956347010 / 19
LCM(62890,62909) = 208228790

Least Common Multiple (LCM) of 62890 and 62909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62890 and 62909. First we will calculate the prime factors of 62890 and 62909.

Prime Factorization of 62890

Prime Factorization of 62909

Now multiplying the highest exponent prime factors to calculate the LCM of 62890 and 62909.

LCM(62890,62909) = 2¹ × 5¹ × 19¹ × 331¹ × 7¹ × 11¹ × 43¹
LCM(62890,62909) = 208228790