What is the Least Common Multiple of 75514 and 75534?

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 75514 and 75534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75514 and 75534, than apply into the LCM equation.

GCF(75514,75534) = 2
LCM(75514,75534) = ( 75514 × 75534) / 2
LCM(75514,75534) = 5703874476 / 2
LCM(75514,75534) = 2851937238

Least Common Multiple (LCM) of 75514 and 75534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75514 and 75534. First we will calculate the prime factors of 75514 and 75534.

Prime Factorization of 75514

Prime Factorization of 75534

Now multiplying the highest exponent prime factors to calculate the LCM of 75514 and 75534.

LCM(75514,75534) = 2¹ × 17¹ × 2221¹ × 3¹ × 12589¹
LCM(75514,75534) = 2851937238