What is the Least Common Multiple of 61680 and 61684?

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 61680 and 61684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61680 and 61684, than apply into the LCM equation.

GCF(61680,61684) = 4
LCM(61680,61684) = ( 61680 × 61684) / 4
LCM(61680,61684) = 3804669120 / 4
LCM(61680,61684) = 951167280

Least Common Multiple (LCM) of 61680 and 61684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61680 and 61684. First we will calculate the prime factors of 61680 and 61684.

Prime Factorization of 61680

Prime Factorization of 61684

Now multiplying the highest exponent prime factors to calculate the LCM of 61680 and 61684.

LCM(61680,61684) = 2⁴ × 3¹ × 5¹ × 257¹ × 7¹ × 2203¹
LCM(61680,61684) = 951167280