What is the Least Common Multiple of 68209 and 68218?

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 68209 and 68218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68209 and 68218, than apply into the LCM equation.

GCF(68209,68218) = 1
LCM(68209,68218) = ( 68209 × 68218) / 1
LCM(68209,68218) = 4653081562 / 1
LCM(68209,68218) = 4653081562

Least Common Multiple (LCM) of 68209 and 68218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68209 and 68218. First we will calculate the prime factors of 68209 and 68218.

Prime Factorization of 68209

Prime Factorization of 68218

Now multiplying the highest exponent prime factors to calculate the LCM of 68209 and 68218.

LCM(68209,68218) = 68209¹ × 2¹ × 23¹ × 1483¹
LCM(68209,68218) = 4653081562