What is the Least Common Multiple of 75769 and 75778?

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 75769 and 75778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75769 and 75778, than apply into the LCM equation.

GCF(75769,75778) = 1
LCM(75769,75778) = ( 75769 × 75778) / 1
LCM(75769,75778) = 5741623282 / 1
LCM(75769,75778) = 5741623282

Least Common Multiple (LCM) of 75769 and 75778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75769 and 75778. First we will calculate the prime factors of 75769 and 75778.

Prime Factorization of 75769

Prime Factorization of 75778

Now multiplying the highest exponent prime factors to calculate the LCM of 75769 and 75778.

LCM(75769,75778) = 17¹ × 4457¹ × 2¹ × 37889¹
LCM(75769,75778) = 5741623282