What is the Least Common Multiple of 88270 and 88280?

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 88270 and 88280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88270 and 88280, than apply into the LCM equation.

GCF(88270,88280) = 10
LCM(88270,88280) = ( 88270 × 88280) / 10
LCM(88270,88280) = 7792475600 / 10
LCM(88270,88280) = 779247560

Least Common Multiple (LCM) of 88270 and 88280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88270 and 88280. First we will calculate the prime factors of 88270 and 88280.

Prime Factorization of 88270

Prime Factorization of 88280

Now multiplying the highest exponent prime factors to calculate the LCM of 88270 and 88280.

LCM(88270,88280) = 2³ × 5¹ × 7¹ × 13¹ × 97¹ × 2207¹
LCM(88270,88280) = 779247560