What is the Least Common Multiple of 4189 and 4207?

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 4189 and 4207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4189 and 4207, than apply into the LCM equation.

GCF(4189,4207) = 1
LCM(4189,4207) = ( 4189 × 4207) / 1
LCM(4189,4207) = 17623123 / 1
LCM(4189,4207) = 17623123

Least Common Multiple (LCM) of 4189 and 4207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4189 and 4207. First we will calculate the prime factors of 4189 and 4207.

Prime Factorization of 4189

Prime Factorization of 4207

Now multiplying the highest exponent prime factors to calculate the LCM of 4189 and 4207.

LCM(4189,4207) = 59¹ × 71¹ × 7¹ × 601¹
LCM(4189,4207) = 17623123