What is the Least Common Multiple of 61935 and 61955?

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 61935 and 61955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61935 and 61955, than apply into the LCM equation.

GCF(61935,61955) = 5
LCM(61935,61955) = ( 61935 × 61955) / 5
LCM(61935,61955) = 3837182925 / 5
LCM(61935,61955) = 767436585

Least Common Multiple (LCM) of 61935 and 61955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61935 and 61955. First we will calculate the prime factors of 61935 and 61955.

Prime Factorization of 61935

Prime Factorization of 61955

Now multiplying the highest exponent prime factors to calculate the LCM of 61935 and 61955.

LCM(61935,61955) = 3¹ × 5¹ × 4129¹ × 12391¹
LCM(61935,61955) = 767436585