What is the Least Common Multiple of 88080 and 88085?

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 88080 and 88085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88080 and 88085, than apply into the LCM equation.

GCF(88080,88085) = 5
LCM(88080,88085) = ( 88080 × 88085) / 5
LCM(88080,88085) = 7758526800 / 5
LCM(88080,88085) = 1551705360

Least Common Multiple (LCM) of 88080 and 88085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88080 and 88085. First we will calculate the prime factors of 88080 and 88085.

Prime Factorization of 88080

Prime Factorization of 88085

Now multiplying the highest exponent prime factors to calculate the LCM of 88080 and 88085.

LCM(88080,88085) = 2⁴ × 3¹ × 5¹ × 367¹ × 79¹ × 223¹
LCM(88080,88085) = 1551705360