What is the Least Common Multiple of 74390 and 74408?

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 74390 and 74408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74390 and 74408, than apply into the LCM equation.

GCF(74390,74408) = 2
LCM(74390,74408) = ( 74390 × 74408) / 2
LCM(74390,74408) = 5535211120 / 2
LCM(74390,74408) = 2767605560

Least Common Multiple (LCM) of 74390 and 74408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74390 and 74408. First we will calculate the prime factors of 74390 and 74408.

Prime Factorization of 74390

Prime Factorization of 74408

Now multiplying the highest exponent prime factors to calculate the LCM of 74390 and 74408.

LCM(74390,74408) = 2³ × 5¹ × 43¹ × 173¹ × 71¹ × 131¹
LCM(74390,74408) = 2767605560