What is the Least Common Multiple of 88250 and 88270?

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 88250 and 88270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88250 and 88270, than apply into the LCM equation.

GCF(88250,88270) = 10
LCM(88250,88270) = ( 88250 × 88270) / 10
LCM(88250,88270) = 7789827500 / 10
LCM(88250,88270) = 778982750

Least Common Multiple (LCM) of 88250 and 88270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88250 and 88270. First we will calculate the prime factors of 88250 and 88270.

Prime Factorization of 88250

Prime Factorization of 88270

Now multiplying the highest exponent prime factors to calculate the LCM of 88250 and 88270.

LCM(88250,88270) = 2¹ × 5³ × 353¹ × 7¹ × 13¹ × 97¹
LCM(88250,88270) = 778982750