What is the Least Common Multiple of 61355 and 61369?

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 61355 and 61369 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61355 and 61369, than apply into the LCM equation.

GCF(61355,61369) = 7
LCM(61355,61369) = ( 61355 × 61369) / 7
LCM(61355,61369) = 3765294995 / 7
LCM(61355,61369) = 537899285

Least Common Multiple (LCM) of 61355 and 61369 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61355 and 61369. First we will calculate the prime factors of 61355 and 61369.

Prime Factorization of 61355

Prime Factorization of 61369

Now multiplying the highest exponent prime factors to calculate the LCM of 61355 and 61369.

LCM(61355,61369) = 5¹ × 7¹ × 1753¹ × 11¹ × 797¹
LCM(61355,61369) = 537899285