What is the Least Common Multiple of 97609 and 97620?

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 97609 and 97620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97609 and 97620, than apply into the LCM equation.

GCF(97609,97620) = 1
LCM(97609,97620) = ( 97609 × 97620) / 1
LCM(97609,97620) = 9528590580 / 1
LCM(97609,97620) = 9528590580

Least Common Multiple (LCM) of 97609 and 97620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97609 and 97620. First we will calculate the prime factors of 97609 and 97620.

Prime Factorization of 97609

Prime Factorization of 97620

Now multiplying the highest exponent prime factors to calculate the LCM of 97609 and 97620.

LCM(97609,97620) = 97609¹ × 2² × 3¹ × 5¹ × 1627¹
LCM(97609,97620) = 9528590580