What is the Least Common Multiple of 61138 and 61154?

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 61138 and 61154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61138 and 61154, than apply into the LCM equation.

GCF(61138,61154) = 2
LCM(61138,61154) = ( 61138 × 61154) / 2
LCM(61138,61154) = 3738833252 / 2
LCM(61138,61154) = 1869416626

Least Common Multiple (LCM) of 61138 and 61154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61138 and 61154. First we will calculate the prime factors of 61138 and 61154.

Prime Factorization of 61138

Prime Factorization of 61154

Now multiplying the highest exponent prime factors to calculate the LCM of 61138 and 61154.

LCM(61138,61154) = 2¹ × 7¹ × 11¹ × 397¹ × 30577¹
LCM(61138,61154) = 1869416626