What is the Least Common Multiple of 88050 and 88054?

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 88050 and 88054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88050 and 88054, than apply into the LCM equation.

GCF(88050,88054) = 2
LCM(88050,88054) = ( 88050 × 88054) / 2
LCM(88050,88054) = 7753154700 / 2
LCM(88050,88054) = 3876577350

Least Common Multiple (LCM) of 88050 and 88054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88050 and 88054. First we will calculate the prime factors of 88050 and 88054.

Prime Factorization of 88050

Prime Factorization of 88054

Now multiplying the highest exponent prime factors to calculate the LCM of 88050 and 88054.

LCM(88050,88054) = 2¹ × 3¹ × 5² × 587¹ × 44027¹
LCM(88050,88054) = 3876577350