What is the Least Common Multiple of 85038 and 85050?

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 85038 and 85050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85038 and 85050, than apply into the LCM equation.

GCF(85038,85050) = 6
LCM(85038,85050) = ( 85038 × 85050) / 6
LCM(85038,85050) = 7232481900 / 6
LCM(85038,85050) = 1205413650

Least Common Multiple (LCM) of 85038 and 85050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85038 and 85050. First we will calculate the prime factors of 85038 and 85050.

Prime Factorization of 85038

Prime Factorization of 85050

Now multiplying the highest exponent prime factors to calculate the LCM of 85038 and 85050.

LCM(85038,85050) = 2¹ × 3⁵ × 14173¹ × 5² × 7¹
LCM(85038,85050) = 1205413650