What is the Least Common Multiple of 74535 and 74540?

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 74535 and 74540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74535 and 74540, than apply into the LCM equation.

GCF(74535,74540) = 5
LCM(74535,74540) = ( 74535 × 74540) / 5
LCM(74535,74540) = 5555838900 / 5
LCM(74535,74540) = 1111167780

Least Common Multiple (LCM) of 74535 and 74540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74535 and 74540. First we will calculate the prime factors of 74535 and 74540.

Prime Factorization of 74535

Prime Factorization of 74540

Now multiplying the highest exponent prime factors to calculate the LCM of 74535 and 74540.

LCM(74535,74540) = 3¹ × 5¹ × 4969¹ × 2² × 3727¹
LCM(74535,74540) = 1111167780