What is the Least Common Multiple of 65760 and 65772?

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 65760 and 65772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65760 and 65772, than apply into the LCM equation.

GCF(65760,65772) = 12
LCM(65760,65772) = ( 65760 × 65772) / 12
LCM(65760,65772) = 4325166720 / 12
LCM(65760,65772) = 360430560

Least Common Multiple (LCM) of 65760 and 65772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65760 and 65772. First we will calculate the prime factors of 65760 and 65772.

Prime Factorization of 65760

Prime Factorization of 65772

Now multiplying the highest exponent prime factors to calculate the LCM of 65760 and 65772.

LCM(65760,65772) = 2⁵ × 3⁴ × 5¹ × 137¹ × 7¹ × 29¹
LCM(65760,65772) = 360430560