What is the Least Common Multiple of 89206 and 89219?

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 89206 and 89219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89206 and 89219, than apply into the LCM equation.

GCF(89206,89219) = 13
LCM(89206,89219) = ( 89206 × 89219) / 13
LCM(89206,89219) = 7958870114 / 13
LCM(89206,89219) = 612220778

Least Common Multiple (LCM) of 89206 and 89219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89206 and 89219. First we will calculate the prime factors of 89206 and 89219.

Prime Factorization of 89206

Prime Factorization of 89219

Now multiplying the highest exponent prime factors to calculate the LCM of 89206 and 89219.

LCM(89206,89219) = 2¹ × 13¹ × 47¹ × 73¹ × 6863¹
LCM(89206,89219) = 612220778