What is the Least Common Multiple of 35760 and 35764?

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 35760 and 35764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35760 and 35764, than apply into the LCM equation.

GCF(35760,35764) = 4
LCM(35760,35764) = ( 35760 × 35764) / 4
LCM(35760,35764) = 1278920640 / 4
LCM(35760,35764) = 319730160

Least Common Multiple (LCM) of 35760 and 35764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35760 and 35764. First we will calculate the prime factors of 35760 and 35764.

Prime Factorization of 35760

Prime Factorization of 35764

Now multiplying the highest exponent prime factors to calculate the LCM of 35760 and 35764.

LCM(35760,35764) = 2⁴ × 3¹ × 5¹ × 149¹ × 8941¹
LCM(35760,35764) = 319730160