What is the Least Common Multiple of 59760 and 59780?

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 59780 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 59780, than apply into the LCM equation.

GCF(59760,59780) = 20
LCM(59760,59780) = ( 59760 × 59780) / 20
LCM(59760,59780) = 3572452800 / 20
LCM(59760,59780) = 178622640

Least Common Multiple (LCM) of 59760 and 59780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59760 and 59780. First we will calculate the prime factors of 59760 and 59780.

Prime Factorization of 59760

Prime Factorization of 59780

Now multiplying the highest exponent prime factors to calculate the LCM of 59760 and 59780.

LCM(59760,59780) = 2⁴ × 3² × 5¹ × 83¹ × 7² × 61¹
LCM(59760,59780) = 178622640