What is the Least Common Multiple of 61539 and 61550?

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 61539 and 61550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61539 and 61550, than apply into the LCM equation.

GCF(61539,61550) = 1
LCM(61539,61550) = ( 61539 × 61550) / 1
LCM(61539,61550) = 3787725450 / 1
LCM(61539,61550) = 3787725450

Least Common Multiple (LCM) of 61539 and 61550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61539 and 61550. First we will calculate the prime factors of 61539 and 61550.

Prime Factorization of 61539

Prime Factorization of 61550

Now multiplying the highest exponent prime factors to calculate the LCM of 61539 and 61550.

LCM(61539,61550) = 3¹ × 73¹ × 281¹ × 2¹ × 5² × 1231¹
LCM(61539,61550) = 3787725450