What is the Least Common Multiple of 55905 and 55916?

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 55905 and 55916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55905 and 55916, than apply into the LCM equation.

GCF(55905,55916) = 1
LCM(55905,55916) = ( 55905 × 55916) / 1
LCM(55905,55916) = 3125983980 / 1
LCM(55905,55916) = 3125983980

Least Common Multiple (LCM) of 55905 and 55916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55905 and 55916. First we will calculate the prime factors of 55905 and 55916.

Prime Factorization of 55905

Prime Factorization of 55916

Now multiplying the highest exponent prime factors to calculate the LCM of 55905 and 55916.

LCM(55905,55916) = 3¹ × 5¹ × 3727¹ × 2² × 7¹ × 1997¹
LCM(55905,55916) = 3125983980