What is the Least Common Multiple of 61549 and 61567?

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 61549 and 61567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61549 and 61567, than apply into the LCM equation.

GCF(61549,61567) = 1
LCM(61549,61567) = ( 61549 × 61567) / 1
LCM(61549,61567) = 3789387283 / 1
LCM(61549,61567) = 3789387283

Least Common Multiple (LCM) of 61549 and 61567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61549 and 61567. First we will calculate the prime factors of 61549 and 61567.

Prime Factorization of 61549

Prime Factorization of 61567

Now multiplying the highest exponent prime factors to calculate the LCM of 61549 and 61567.

LCM(61549,61567) = 61¹ × 1009¹ × 11¹ × 29¹ × 193¹
LCM(61549,61567) = 3789387283