What is the Least Common Multiple of 61138 and 61145?

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 61145 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 61145, than apply into the LCM equation.

GCF(61138,61145) = 7
LCM(61138,61145) = ( 61138 × 61145) / 7
LCM(61138,61145) = 3738283010 / 7
LCM(61138,61145) = 534040430

Least Common Multiple (LCM) of 61138 and 61145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61138 and 61145. First we will calculate the prime factors of 61138 and 61145.

Prime Factorization of 61138

Prime Factorization of 61145

Now multiplying the highest exponent prime factors to calculate the LCM of 61138 and 61145.

LCM(61138,61145) = 2¹ × 7¹ × 11¹ × 397¹ × 5¹ × 1747¹
LCM(61138,61145) = 534040430