What is the Least Common Multiple of 61770 and 61779?

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 61770 and 61779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61770 and 61779, than apply into the LCM equation.

GCF(61770,61779) = 3
LCM(61770,61779) = ( 61770 × 61779) / 3
LCM(61770,61779) = 3816088830 / 3
LCM(61770,61779) = 1272029610

Least Common Multiple (LCM) of 61770 and 61779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61770 and 61779. First we will calculate the prime factors of 61770 and 61779.

Prime Factorization of 61770

Prime Factorization of 61779

Now multiplying the highest exponent prime factors to calculate the LCM of 61770 and 61779.

LCM(61770,61779) = 2¹ × 3¹ × 5¹ × 29¹ × 71¹ × 20593¹
LCM(61770,61779) = 1272029610