What is the Least Common Multiple of 74914 and 74928?

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 74914 and 74928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74914 and 74928, than apply into the LCM equation.

GCF(74914,74928) = 14
LCM(74914,74928) = ( 74914 × 74928) / 14
LCM(74914,74928) = 5613156192 / 14
LCM(74914,74928) = 400939728

Least Common Multiple (LCM) of 74914 and 74928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74914 and 74928. First we will calculate the prime factors of 74914 and 74928.

Prime Factorization of 74914

Prime Factorization of 74928

Now multiplying the highest exponent prime factors to calculate the LCM of 74914 and 74928.

LCM(74914,74928) = 2⁴ × 7¹ × 5351¹ × 3¹ × 223¹
LCM(74914,74928) = 400939728