What is the Least Common Multiple of 61098 and 61117?

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 61098 and 61117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61098 and 61117, than apply into the LCM equation.

GCF(61098,61117) = 1
LCM(61098,61117) = ( 61098 × 61117) / 1
LCM(61098,61117) = 3734126466 / 1
LCM(61098,61117) = 3734126466

Least Common Multiple (LCM) of 61098 and 61117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61098 and 61117. First we will calculate the prime factors of 61098 and 61117.

Prime Factorization of 61098

Prime Factorization of 61117

Now multiplying the highest exponent prime factors to calculate the LCM of 61098 and 61117.

LCM(61098,61117) = 2¹ × 3¹ × 17¹ × 599¹ × 7¹ × 8731¹
LCM(61098,61117) = 3734126466