What is the Least Common Multiple of 75280 and 75292?

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 75280 and 75292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75280 and 75292, than apply into the LCM equation.

GCF(75280,75292) = 4
LCM(75280,75292) = ( 75280 × 75292) / 4
LCM(75280,75292) = 5667981760 / 4
LCM(75280,75292) = 1416995440

Least Common Multiple (LCM) of 75280 and 75292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75280 and 75292. First we will calculate the prime factors of 75280 and 75292.

Prime Factorization of 75280

Prime Factorization of 75292

Now multiplying the highest exponent prime factors to calculate the LCM of 75280 and 75292.

LCM(75280,75292) = 2⁴ × 5¹ × 941¹ × 7¹ × 2689¹
LCM(75280,75292) = 1416995440