What is the Least Common Multiple of 61880 and 61887?

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 61880 and 61887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61880 and 61887, than apply into the LCM equation.

GCF(61880,61887) = 7
LCM(61880,61887) = ( 61880 × 61887) / 7
LCM(61880,61887) = 3829567560 / 7
LCM(61880,61887) = 547081080

Least Common Multiple (LCM) of 61880 and 61887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61880 and 61887. First we will calculate the prime factors of 61880 and 61887.

Prime Factorization of 61880

Prime Factorization of 61887

Now multiplying the highest exponent prime factors to calculate the LCM of 61880 and 61887.

LCM(61880,61887) = 2³ × 5¹ × 7² × 13¹ × 17¹ × 3¹ × 421¹
LCM(61880,61887) = 547081080