What is the Least Common Multiple of 74844 and 74864?

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 74844 and 74864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74844 and 74864, than apply into the LCM equation.

GCF(74844,74864) = 4
LCM(74844,74864) = ( 74844 × 74864) / 4
LCM(74844,74864) = 5603121216 / 4
LCM(74844,74864) = 1400780304

Least Common Multiple (LCM) of 74844 and 74864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74844 and 74864. First we will calculate the prime factors of 74844 and 74864.

Prime Factorization of 74844

Prime Factorization of 74864

Now multiplying the highest exponent prime factors to calculate the LCM of 74844 and 74864.

LCM(74844,74864) = 2⁴ × 3⁵ × 7¹ × 11¹ × 4679¹
LCM(74844,74864) = 1400780304