What is the Least Common Multiple of 74560 and 74564?

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 74564 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 74564, than apply into the LCM equation.

GCF(74560,74564) = 4
LCM(74560,74564) = ( 74560 × 74564) / 4
LCM(74560,74564) = 5559491840 / 4
LCM(74560,74564) = 1389872960

Least Common Multiple (LCM) of 74560 and 74564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74560 and 74564. First we will calculate the prime factors of 74560 and 74564.

Prime Factorization of 74560

Prime Factorization of 74564

Now multiplying the highest exponent prime factors to calculate the LCM of 74560 and 74564.

LCM(74560,74564) = 2⁶ × 5¹ × 233¹ × 7¹ × 2663¹
LCM(74560,74564) = 1389872960