What is the Least Common Multiple of 59760 and 59776?

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 59760 and 59776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59760 and 59776, than apply into the LCM equation.

GCF(59760,59776) = 16
LCM(59760,59776) = ( 59760 × 59776) / 16
LCM(59760,59776) = 3572213760 / 16
LCM(59760,59776) = 223263360

Least Common Multiple (LCM) of 59760 and 59776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59760 and 59776. First we will calculate the prime factors of 59760 and 59776.

Prime Factorization of 59760

Prime Factorization of 59776

Now multiplying the highest exponent prime factors to calculate the LCM of 59760 and 59776.

LCM(59760,59776) = 2⁷ × 3² × 5¹ × 83¹ × 467¹
LCM(59760,59776) = 223263360