What is the Least Common Multiple of 75038 and 75050?

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 75038 and 75050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75038 and 75050, than apply into the LCM equation.

GCF(75038,75050) = 2
LCM(75038,75050) = ( 75038 × 75050) / 2
LCM(75038,75050) = 5631601900 / 2
LCM(75038,75050) = 2815800950

Least Common Multiple (LCM) of 75038 and 75050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75038 and 75050. First we will calculate the prime factors of 75038 and 75050.

Prime Factorization of 75038

Prime Factorization of 75050

Now multiplying the highest exponent prime factors to calculate the LCM of 75038 and 75050.

LCM(75038,75050) = 2¹ × 17¹ × 2207¹ × 5² × 19¹ × 79¹
LCM(75038,75050) = 2815800950