What is the Least Common Multiple of 41760 and 41776?

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 41760 and 41776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41760 and 41776, than apply into the LCM equation.

GCF(41760,41776) = 16
LCM(41760,41776) = ( 41760 × 41776) / 16
LCM(41760,41776) = 1744565760 / 16
LCM(41760,41776) = 109035360

Least Common Multiple (LCM) of 41760 and 41776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41760 and 41776. First we will calculate the prime factors of 41760 and 41776.

Prime Factorization of 41760

Prime Factorization of 41776

Now multiplying the highest exponent prime factors to calculate the LCM of 41760 and 41776.

LCM(41760,41776) = 2⁵ × 3² × 5¹ × 29¹ × 7¹ × 373¹
LCM(41760,41776) = 109035360