What is the Least Common Multiple of 61550 and 61555?

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 61550 and 61555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61550 and 61555, than apply into the LCM equation.

GCF(61550,61555) = 5
LCM(61550,61555) = ( 61550 × 61555) / 5
LCM(61550,61555) = 3788710250 / 5
LCM(61550,61555) = 757742050

Least Common Multiple (LCM) of 61550 and 61555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61550 and 61555. First we will calculate the prime factors of 61550 and 61555.

Prime Factorization of 61550

Prime Factorization of 61555

Now multiplying the highest exponent prime factors to calculate the LCM of 61550 and 61555.

LCM(61550,61555) = 2¹ × 5² × 1231¹ × 13¹ × 947¹
LCM(61550,61555) = 757742050