What is the Least Common Multiple of 61545 and 61559?

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 61545 and 61559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61545 and 61559, than apply into the LCM equation.

GCF(61545,61559) = 1
LCM(61545,61559) = ( 61545 × 61559) / 1
LCM(61545,61559) = 3788648655 / 1
LCM(61545,61559) = 3788648655

Least Common Multiple (LCM) of 61545 and 61559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61545 and 61559. First we will calculate the prime factors of 61545 and 61559.

Prime Factorization of 61545

Prime Factorization of 61559

Now multiplying the highest exponent prime factors to calculate the LCM of 61545 and 61559.

LCM(61545,61559) = 3¹ × 5¹ × 11¹ × 373¹ × 61559¹
LCM(61545,61559) = 3788648655