What is the Least Common Multiple of 75552 and 75565?

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 75552 and 75565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75552 and 75565, than apply into the LCM equation.

GCF(75552,75565) = 1
LCM(75552,75565) = ( 75552 × 75565) / 1
LCM(75552,75565) = 5709086880 / 1
LCM(75552,75565) = 5709086880

Least Common Multiple (LCM) of 75552 and 75565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75552 and 75565. First we will calculate the prime factors of 75552 and 75565.

Prime Factorization of 75552

Prime Factorization of 75565

Now multiplying the highest exponent prime factors to calculate the LCM of 75552 and 75565.

LCM(75552,75565) = 2⁵ × 3¹ × 787¹ × 5¹ × 7¹ × 17¹ × 127¹
LCM(75552,75565) = 5709086880