What is the Least Common Multiple of 58770 and 58776?

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 58770 and 58776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58770 and 58776, than apply into the LCM equation.

GCF(58770,58776) = 6
LCM(58770,58776) = ( 58770 × 58776) / 6
LCM(58770,58776) = 3454265520 / 6
LCM(58770,58776) = 575710920

Least Common Multiple (LCM) of 58770 and 58776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58770 and 58776. First we will calculate the prime factors of 58770 and 58776.

Prime Factorization of 58770

Prime Factorization of 58776

Now multiplying the highest exponent prime factors to calculate the LCM of 58770 and 58776.

LCM(58770,58776) = 2³ × 3² × 5¹ × 653¹ × 31¹ × 79¹
LCM(58770,58776) = 575710920