What is the Least Common Multiple of 75250 and 75262?

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 75250 and 75262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75250 and 75262, than apply into the LCM equation.

GCF(75250,75262) = 2
LCM(75250,75262) = ( 75250 × 75262) / 2
LCM(75250,75262) = 5663465500 / 2
LCM(75250,75262) = 2831732750

Least Common Multiple (LCM) of 75250 and 75262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75250 and 75262. First we will calculate the prime factors of 75250 and 75262.

Prime Factorization of 75250

Prime Factorization of 75262

Now multiplying the highest exponent prime factors to calculate the LCM of 75250 and 75262.

LCM(75250,75262) = 2¹ × 5³ × 7¹ × 43¹ × 11² × 311¹
LCM(75250,75262) = 2831732750