What is the Least Common Multiple of 72189 and 72205?

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 72189 and 72205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72189 and 72205, than apply into the LCM equation.

GCF(72189,72205) = 1
LCM(72189,72205) = ( 72189 × 72205) / 1
LCM(72189,72205) = 5212406745 / 1
LCM(72189,72205) = 5212406745

Least Common Multiple (LCM) of 72189 and 72205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72189 and 72205. First we will calculate the prime factors of 72189 and 72205.

Prime Factorization of 72189

Prime Factorization of 72205

Now multiplying the highest exponent prime factors to calculate the LCM of 72189 and 72205.

LCM(72189,72205) = 3² × 13¹ × 617¹ × 5¹ × 7¹ × 2063¹
LCM(72189,72205) = 5212406745