What is the Least Common Multiple of 88780 and 88792?

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 88780 and 88792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88780 and 88792, than apply into the LCM equation.

GCF(88780,88792) = 4
LCM(88780,88792) = ( 88780 × 88792) / 4
LCM(88780,88792) = 7882953760 / 4
LCM(88780,88792) = 1970738440

Least Common Multiple (LCM) of 88780 and 88792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88780 and 88792. First we will calculate the prime factors of 88780 and 88792.

Prime Factorization of 88780

Prime Factorization of 88792

Now multiplying the highest exponent prime factors to calculate the LCM of 88780 and 88792.

LCM(88780,88792) = 2³ × 5¹ × 23¹ × 193¹ × 11¹ × 1009¹
LCM(88780,88792) = 1970738440