What is the Least Common Multiple of 74548 and 74562?

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 74548 and 74562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74548 and 74562, than apply into the LCM equation.

GCF(74548,74562) = 2
LCM(74548,74562) = ( 74548 × 74562) / 2
LCM(74548,74562) = 5558447976 / 2
LCM(74548,74562) = 2779223988

Least Common Multiple (LCM) of 74548 and 74562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74548 and 74562. First we will calculate the prime factors of 74548 and 74562.

Prime Factorization of 74548

Prime Factorization of 74562

Now multiplying the highest exponent prime factors to calculate the LCM of 74548 and 74562.

LCM(74548,74562) = 2² × 18637¹ × 3¹ × 17² × 43¹
LCM(74548,74562) = 2779223988