What is the Least Common Multiple of 90735 and 90742?

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 90735 and 90742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90735 and 90742, than apply into the LCM equation.

GCF(90735,90742) = 1
LCM(90735,90742) = ( 90735 × 90742) / 1
LCM(90735,90742) = 8233475370 / 1
LCM(90735,90742) = 8233475370

Least Common Multiple (LCM) of 90735 and 90742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90735 and 90742. First we will calculate the prime factors of 90735 and 90742.

Prime Factorization of 90735

Prime Factorization of 90742

Now multiplying the highest exponent prime factors to calculate the LCM of 90735 and 90742.

LCM(90735,90742) = 3¹ × 5¹ × 23¹ × 263¹ × 2¹ × 59¹ × 769¹
LCM(90735,90742) = 8233475370