What is the Least Common Multiple of 61665 and 61680?

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 61665 and 61680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61665 and 61680, than apply into the LCM equation.

GCF(61665,61680) = 15
LCM(61665,61680) = ( 61665 × 61680) / 15
LCM(61665,61680) = 3803497200 / 15
LCM(61665,61680) = 253566480

Least Common Multiple (LCM) of 61665 and 61680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61665 and 61680. First we will calculate the prime factors of 61665 and 61680.

Prime Factorization of 61665

Prime Factorization of 61680

Now multiplying the highest exponent prime factors to calculate the LCM of 61665 and 61680.

LCM(61665,61680) = 3¹ × 5¹ × 4111¹ × 2⁴ × 257¹
LCM(61665,61680) = 253566480