What is the Least Common Multiple of 74405 and 74422?

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 74405 and 74422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74405 and 74422, than apply into the LCM equation.

GCF(74405,74422) = 1
LCM(74405,74422) = ( 74405 × 74422) / 1
LCM(74405,74422) = 5537368910 / 1
LCM(74405,74422) = 5537368910

Least Common Multiple (LCM) of 74405 and 74422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74405 and 74422. First we will calculate the prime factors of 74405 and 74422.

Prime Factorization of 74405

Prime Factorization of 74422

Now multiplying the highest exponent prime factors to calculate the LCM of 74405 and 74422.

LCM(74405,74422) = 5¹ × 23¹ × 647¹ × 2¹ × 127¹ × 293¹
LCM(74405,74422) = 5537368910