What is the Least Common Multiple of 74830 and 74842?

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 74830 and 74842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74830 and 74842, than apply into the LCM equation.

GCF(74830,74842) = 2
LCM(74830,74842) = ( 74830 × 74842) / 2
LCM(74830,74842) = 5600426860 / 2
LCM(74830,74842) = 2800213430

Least Common Multiple (LCM) of 74830 and 74842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74830 and 74842. First we will calculate the prime factors of 74830 and 74842.

Prime Factorization of 74830

Prime Factorization of 74842

Now multiplying the highest exponent prime factors to calculate the LCM of 74830 and 74842.

LCM(74830,74842) = 2¹ × 5¹ × 7¹ × 1069¹ × 23¹ × 1627¹
LCM(74830,74842) = 2800213430