What is the Least Common Multiple of 61095 and 61100?

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 61095 and 61100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61095 and 61100, than apply into the LCM equation.

GCF(61095,61100) = 5
LCM(61095,61100) = ( 61095 × 61100) / 5
LCM(61095,61100) = 3732904500 / 5
LCM(61095,61100) = 746580900

Least Common Multiple (LCM) of 61095 and 61100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61095 and 61100. First we will calculate the prime factors of 61095 and 61100.

Prime Factorization of 61095

Prime Factorization of 61100

Now multiplying the highest exponent prime factors to calculate the LCM of 61095 and 61100.

LCM(61095,61100) = 3¹ × 5² × 4073¹ × 2² × 13¹ × 47¹
LCM(61095,61100) = 746580900