What is the Least Common Multiple of 61864 and 61880?

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 61864 and 61880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61864 and 61880, than apply into the LCM equation.

GCF(61864,61880) = 8
LCM(61864,61880) = ( 61864 × 61880) / 8
LCM(61864,61880) = 3828144320 / 8
LCM(61864,61880) = 478518040

Least Common Multiple (LCM) of 61864 and 61880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61864 and 61880. First we will calculate the prime factors of 61864 and 61880.

Prime Factorization of 61864

Prime Factorization of 61880

Now multiplying the highest exponent prime factors to calculate the LCM of 61864 and 61880.

LCM(61864,61880) = 2³ × 11¹ × 19¹ × 37¹ × 5¹ × 7¹ × 13¹ × 17¹
LCM(61864,61880) = 478518040