What is the Least Common Multiple of 61314 and 61320?

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 61314 and 61320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61314 and 61320, than apply into the LCM equation.

GCF(61314,61320) = 6
LCM(61314,61320) = ( 61314 × 61320) / 6
LCM(61314,61320) = 3759774480 / 6
LCM(61314,61320) = 626629080

Least Common Multiple (LCM) of 61314 and 61320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61314 and 61320. First we will calculate the prime factors of 61314 and 61320.

Prime Factorization of 61314

Prime Factorization of 61320

Now multiplying the highest exponent prime factors to calculate the LCM of 61314 and 61320.

LCM(61314,61320) = 2³ × 3¹ × 11¹ × 929¹ × 5¹ × 7¹ × 73¹
LCM(61314,61320) = 626629080