What is the Least Common Multiple of 74824 and 74830?

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 74824 and 74830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74824 and 74830, than apply into the LCM equation.

GCF(74824,74830) = 2
LCM(74824,74830) = ( 74824 × 74830) / 2
LCM(74824,74830) = 5599079920 / 2
LCM(74824,74830) = 2799539960

Least Common Multiple (LCM) of 74824 and 74830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74824 and 74830. First we will calculate the prime factors of 74824 and 74830.

Prime Factorization of 74824

Prime Factorization of 74830

Now multiplying the highest exponent prime factors to calculate the LCM of 74824 and 74830.

LCM(74824,74830) = 2³ × 47¹ × 199¹ × 5¹ × 7¹ × 1069¹
LCM(74824,74830) = 2799539960