What is the Least Common Multiple of 75824 and 75830?

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 75824 and 75830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75824 and 75830, than apply into the LCM equation.

GCF(75824,75830) = 2
LCM(75824,75830) = ( 75824 × 75830) / 2
LCM(75824,75830) = 5749733920 / 2
LCM(75824,75830) = 2874866960

Least Common Multiple (LCM) of 75824 and 75830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75824 and 75830. First we will calculate the prime factors of 75824 and 75830.

Prime Factorization of 75824

Prime Factorization of 75830

Now multiplying the highest exponent prime factors to calculate the LCM of 75824 and 75830.

LCM(75824,75830) = 2⁴ × 7¹ × 677¹ × 5¹ × 7583¹
LCM(75824,75830) = 2874866960