What is the Least Common Multiple of 61605 and 61614?

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 61605 and 61614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61605 and 61614, than apply into the LCM equation.

GCF(61605,61614) = 9
LCM(61605,61614) = ( 61605 × 61614) / 9
LCM(61605,61614) = 3795730470 / 9
LCM(61605,61614) = 421747830

Least Common Multiple (LCM) of 61605 and 61614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61605 and 61614. First we will calculate the prime factors of 61605 and 61614.

Prime Factorization of 61605

Prime Factorization of 61614

Now multiplying the highest exponent prime factors to calculate the LCM of 61605 and 61614.

LCM(61605,61614) = 3³ × 5¹ × 37² × 2¹ × 7¹ × 163¹
LCM(61605,61614) = 421747830