What is the Least Common Multiple of 74560 and 74577?

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 74577 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 74577, than apply into the LCM equation.

GCF(74560,74577) = 1
LCM(74560,74577) = ( 74560 × 74577) / 1
LCM(74560,74577) = 5560461120 / 1
LCM(74560,74577) = 5560461120

Least Common Multiple (LCM) of 74560 and 74577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74560 and 74577. First we will calculate the prime factors of 74560 and 74577.

Prime Factorization of 74560

Prime Factorization of 74577

Now multiplying the highest exponent prime factors to calculate the LCM of 74560 and 74577.

LCM(74560,74577) = 2⁶ × 5¹ × 233¹ × 3¹ × 24859¹
LCM(74560,74577) = 5560461120