What is the Least Common Multiple of 88030 and 88050?

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 88030 and 88050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88030 and 88050, than apply into the LCM equation.

GCF(88030,88050) = 10
LCM(88030,88050) = ( 88030 × 88050) / 10
LCM(88030,88050) = 7751041500 / 10
LCM(88030,88050) = 775104150

Least Common Multiple (LCM) of 88030 and 88050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88030 and 88050. First we will calculate the prime factors of 88030 and 88050.

Prime Factorization of 88030

Prime Factorization of 88050

Now multiplying the highest exponent prime factors to calculate the LCM of 88030 and 88050.

LCM(88030,88050) = 2¹ × 5² × 8803¹ × 3¹ × 587¹
LCM(88030,88050) = 775104150