What is the Least Common Multiple of 61100 and 61105?

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 61100 and 61105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61100 and 61105, than apply into the LCM equation.

GCF(61100,61105) = 5
LCM(61100,61105) = ( 61100 × 61105) / 5
LCM(61100,61105) = 3733515500 / 5
LCM(61100,61105) = 746703100

Least Common Multiple (LCM) of 61100 and 61105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61100 and 61105. First we will calculate the prime factors of 61100 and 61105.

Prime Factorization of 61100

Prime Factorization of 61105

Now multiplying the highest exponent prime factors to calculate the LCM of 61100 and 61105.

LCM(61100,61105) = 2² × 5² × 13¹ × 47¹ × 11² × 101¹
LCM(61100,61105) = 746703100