What is the Least Common Multiple of 60609 and 60620?

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 60609 and 60620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60609 and 60620, than apply into the LCM equation.

GCF(60609,60620) = 1
LCM(60609,60620) = ( 60609 × 60620) / 1
LCM(60609,60620) = 3674117580 / 1
LCM(60609,60620) = 3674117580

Least Common Multiple (LCM) of 60609 and 60620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60609 and 60620. First we will calculate the prime factors of 60609 and 60620.

Prime Factorization of 60609

Prime Factorization of 60620

Now multiplying the highest exponent prime factors to calculate the LCM of 60609 and 60620.

LCM(60609,60620) = 3¹ × 89¹ × 227¹ × 2² × 5¹ × 7¹ × 433¹
LCM(60609,60620) = 3674117580