What is the Least Common Multiple of 90609 and 90620?

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 90609 and 90620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90609 and 90620, than apply into the LCM equation.

GCF(90609,90620) = 1
LCM(90609,90620) = ( 90609 × 90620) / 1
LCM(90609,90620) = 8210987580 / 1
LCM(90609,90620) = 8210987580

Least Common Multiple (LCM) of 90609 and 90620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90609 and 90620. First we will calculate the prime factors of 90609 and 90620.

Prime Factorization of 90609

Prime Factorization of 90620

Now multiplying the highest exponent prime factors to calculate the LCM of 90609 and 90620.

LCM(90609,90620) = 3¹ × 30203¹ × 2² × 5¹ × 23¹ × 197¹
LCM(90609,90620) = 8210987580