What is the Least Common Multiple of 75920 and 75927?

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 75920 and 75927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75920 and 75927, than apply into the LCM equation.

GCF(75920,75927) = 1
LCM(75920,75927) = ( 75920 × 75927) / 1
LCM(75920,75927) = 5764377840 / 1
LCM(75920,75927) = 5764377840

Least Common Multiple (LCM) of 75920 and 75927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75920 and 75927. First we will calculate the prime factors of 75920 and 75927.

Prime Factorization of 75920

Prime Factorization of 75927

Now multiplying the highest exponent prime factors to calculate the LCM of 75920 and 75927.

LCM(75920,75927) = 2⁴ × 5¹ × 13¹ × 73¹ × 3¹ × 25309¹
LCM(75920,75927) = 5764377840