What is the Least Common Multiple of 75505 and 75520?

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 75505 and 75520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75505 and 75520, than apply into the LCM equation.

GCF(75505,75520) = 5
LCM(75505,75520) = ( 75505 × 75520) / 5
LCM(75505,75520) = 5702137600 / 5
LCM(75505,75520) = 1140427520

Least Common Multiple (LCM) of 75505 and 75520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75505 and 75520. First we will calculate the prime factors of 75505 and 75520.

Prime Factorization of 75505

Prime Factorization of 75520

Now multiplying the highest exponent prime factors to calculate the LCM of 75505 and 75520.

LCM(75505,75520) = 5¹ × 15101¹ × 2⁸ × 59¹
LCM(75505,75520) = 1140427520