What is the Least Common Multiple of 74414 and 74432?

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 74414 and 74432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74414 and 74432, than apply into the LCM equation.

GCF(74414,74432) = 2
LCM(74414,74432) = ( 74414 × 74432) / 2
LCM(74414,74432) = 5538782848 / 2
LCM(74414,74432) = 2769391424

Least Common Multiple (LCM) of 74414 and 74432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74414 and 74432. First we will calculate the prime factors of 74414 and 74432.

Prime Factorization of 74414

Prime Factorization of 74432

Now multiplying the highest exponent prime factors to calculate the LCM of 74414 and 74432.

LCM(74414,74432) = 2⁶ × 29¹ × 1283¹ × 1163¹
LCM(74414,74432) = 2769391424