What is the Least Common Multiple of 90730 and 90735?

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 90730 and 90735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90730 and 90735, than apply into the LCM equation.

GCF(90730,90735) = 5
LCM(90730,90735) = ( 90730 × 90735) / 5
LCM(90730,90735) = 8232386550 / 5
LCM(90730,90735) = 1646477310

Least Common Multiple (LCM) of 90730 and 90735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90730 and 90735. First we will calculate the prime factors of 90730 and 90735.

Prime Factorization of 90730

Prime Factorization of 90735

Now multiplying the highest exponent prime factors to calculate the LCM of 90730 and 90735.

LCM(90730,90735) = 2¹ × 5¹ × 43¹ × 211¹ × 3¹ × 23¹ × 263¹
LCM(90730,90735) = 1646477310