What is the Least Common Multiple of 88550 and 88561?

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 88550 and 88561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88550 and 88561, than apply into the LCM equation.

GCF(88550,88561) = 11
LCM(88550,88561) = ( 88550 × 88561) / 11
LCM(88550,88561) = 7842076550 / 11
LCM(88550,88561) = 712916050

Least Common Multiple (LCM) of 88550 and 88561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88550 and 88561. First we will calculate the prime factors of 88550 and 88561.

Prime Factorization of 88550

Prime Factorization of 88561

Now multiplying the highest exponent prime factors to calculate the LCM of 88550 and 88561.

LCM(88550,88561) = 2¹ × 5² × 7¹ × 11¹ × 23¹ × 83¹ × 97¹
LCM(88550,88561) = 712916050