What is the Least Common Multiple of 61191 and 61207?

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 61191 and 61207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61191 and 61207, than apply into the LCM equation.

GCF(61191,61207) = 1
LCM(61191,61207) = ( 61191 × 61207) / 1
LCM(61191,61207) = 3745317537 / 1
LCM(61191,61207) = 3745317537

Least Common Multiple (LCM) of 61191 and 61207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61191 and 61207. First we will calculate the prime factors of 61191 and 61207.

Prime Factorization of 61191

Prime Factorization of 61207

Now multiplying the highest exponent prime factors to calculate the LCM of 61191 and 61207.

LCM(61191,61207) = 3² × 13¹ × 523¹ × 97¹ × 631¹
LCM(61191,61207) = 3745317537