What is the Least Common Multiple of 7189 and 7205?

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 7189 and 7205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7189 and 7205, than apply into the LCM equation.

GCF(7189,7205) = 1
LCM(7189,7205) = ( 7189 × 7205) / 1
LCM(7189,7205) = 51796745 / 1
LCM(7189,7205) = 51796745

Least Common Multiple (LCM) of 7189 and 7205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7189 and 7205. First we will calculate the prime factors of 7189 and 7205.

Prime Factorization of 7189

Prime Factorization of 7205

Now multiplying the highest exponent prime factors to calculate the LCM of 7189 and 7205.

LCM(7189,7205) = 7¹ × 13¹ × 79¹ × 5¹ × 11¹ × 131¹
LCM(7189,7205) = 51796745