What is the Least Common Multiple of 74766 and 74779?

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 74766 and 74779 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74766 and 74779, than apply into the LCM equation.

GCF(74766,74779) = 1
LCM(74766,74779) = ( 74766 × 74779) / 1
LCM(74766,74779) = 5590926714 / 1
LCM(74766,74779) = 5590926714

Least Common Multiple (LCM) of 74766 and 74779 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74766 and 74779. First we will calculate the prime factors of 74766 and 74779.

Prime Factorization of 74766

Prime Factorization of 74779

Now multiplying the highest exponent prime factors to calculate the LCM of 74766 and 74779.

LCM(74766,74779) = 2¹ × 3¹ × 17¹ × 733¹ × 74779¹
LCM(74766,74779) = 5590926714