What is the Least Common Multiple of 61117 and 61137?

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 61117 and 61137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61117 and 61137, than apply into the LCM equation.

GCF(61117,61137) = 1
LCM(61117,61137) = ( 61117 × 61137) / 1
LCM(61117,61137) = 3736510029 / 1
LCM(61117,61137) = 3736510029

Least Common Multiple (LCM) of 61117 and 61137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61117 and 61137. First we will calculate the prime factors of 61117 and 61137.

Prime Factorization of 61117

Prime Factorization of 61137

Now multiplying the highest exponent prime factors to calculate the LCM of 61117 and 61137.

LCM(61117,61137) = 7¹ × 8731¹ × 3² × 6793¹
LCM(61117,61137) = 3736510029