What is the Least Common Multiple of 74896 and 74914?

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 74896 and 74914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74896 and 74914, than apply into the LCM equation.

GCF(74896,74914) = 2
LCM(74896,74914) = ( 74896 × 74914) / 2
LCM(74896,74914) = 5610758944 / 2
LCM(74896,74914) = 2805379472

Least Common Multiple (LCM) of 74896 and 74914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74896 and 74914. First we will calculate the prime factors of 74896 and 74914.

Prime Factorization of 74896

Prime Factorization of 74914

Now multiplying the highest exponent prime factors to calculate the LCM of 74896 and 74914.

LCM(74896,74914) = 2⁴ × 31¹ × 151¹ × 7¹ × 5351¹
LCM(74896,74914) = 2805379472