What is the Least Common Multiple of 74408 and 74424?

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 74408 and 74424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74408 and 74424, than apply into the LCM equation.

GCF(74408,74424) = 8
LCM(74408,74424) = ( 74408 × 74424) / 8
LCM(74408,74424) = 5537740992 / 8
LCM(74408,74424) = 692217624

Least Common Multiple (LCM) of 74408 and 74424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74408 and 74424. First we will calculate the prime factors of 74408 and 74424.

Prime Factorization of 74408

Prime Factorization of 74424

Now multiplying the highest exponent prime factors to calculate the LCM of 74408 and 74424.

LCM(74408,74424) = 2³ × 71¹ × 131¹ × 3¹ × 7¹ × 443¹
LCM(74408,74424) = 692217624