What is the Least Common Multiple of 74560 and 74566?

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 74560 and 74566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74560 and 74566, than apply into the LCM equation.

GCF(74560,74566) = 2
LCM(74560,74566) = ( 74560 × 74566) / 2
LCM(74560,74566) = 5559640960 / 2
LCM(74560,74566) = 2779820480

Least Common Multiple (LCM) of 74560 and 74566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74560 and 74566. First we will calculate the prime factors of 74560 and 74566.

Prime Factorization of 74560

Prime Factorization of 74566

Now multiplying the highest exponent prime factors to calculate the LCM of 74560 and 74566.

LCM(74560,74566) = 2⁶ × 5¹ × 233¹ × 23¹ × 1621¹
LCM(74560,74566) = 2779820480