What is the Least Common Multiple of 72766 and 72779?

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 72766 and 72779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72766 and 72779, than apply into the LCM equation.

GCF(72766,72779) = 1
LCM(72766,72779) = ( 72766 × 72779) / 1
LCM(72766,72779) = 5295836714 / 1
LCM(72766,72779) = 5295836714

Least Common Multiple (LCM) of 72766 and 72779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72766 and 72779. First we will calculate the prime factors of 72766 and 72779.

Prime Factorization of 72766

Prime Factorization of 72779

Now multiplying the highest exponent prime factors to calculate the LCM of 72766 and 72779.

LCM(72766,72779) = 2¹ × 36383¹ × 7¹ × 37¹ × 281¹
LCM(72766,72779) = 5295836714