What is the Least Common Multiple of 91770 and 91781?

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 91770 and 91781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91770 and 91781, than apply into the LCM equation.

GCF(91770,91781) = 1
LCM(91770,91781) = ( 91770 × 91781) / 1
LCM(91770,91781) = 8422742370 / 1
LCM(91770,91781) = 8422742370

Least Common Multiple (LCM) of 91770 and 91781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91770 and 91781. First we will calculate the prime factors of 91770 and 91781.

Prime Factorization of 91770

Prime Factorization of 91781

Now multiplying the highest exponent prime factors to calculate the LCM of 91770 and 91781.

LCM(91770,91781) = 2¹ × 3¹ × 5¹ × 7¹ × 19¹ × 23¹ × 91781¹
LCM(91770,91781) = 8422742370