What is the Least Common Multiple of 90735 and 90747?

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 90747 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 90747, than apply into the LCM equation.

GCF(90735,90747) = 3
LCM(90735,90747) = ( 90735 × 90747) / 3
LCM(90735,90747) = 8233929045 / 3
LCM(90735,90747) = 2744643015

Least Common Multiple (LCM) of 90735 and 90747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90735 and 90747. First we will calculate the prime factors of 90735 and 90747.

Prime Factorization of 90735

Prime Factorization of 90747

Now multiplying the highest exponent prime factors to calculate the LCM of 90735 and 90747.

LCM(90735,90747) = 3³ × 5¹ × 23¹ × 263¹ × 3361¹
LCM(90735,90747) = 2744643015