What is the Least Common Multiple of 74540 and 74560?

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 74540 and 74560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74540 and 74560, than apply into the LCM equation.

GCF(74540,74560) = 20
LCM(74540,74560) = ( 74540 × 74560) / 20
LCM(74540,74560) = 5557702400 / 20
LCM(74540,74560) = 277885120

Least Common Multiple (LCM) of 74540 and 74560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74540 and 74560. First we will calculate the prime factors of 74540 and 74560.

Prime Factorization of 74540

Prime Factorization of 74560

Now multiplying the highest exponent prime factors to calculate the LCM of 74540 and 74560.

LCM(74540,74560) = 2⁶ × 5¹ × 3727¹ × 233¹
LCM(74540,74560) = 277885120