What is the Least Common Multiple of 61142 and 61148?

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 61142 and 61148 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61142 and 61148, than apply into the LCM equation.

GCF(61142,61148) = 2
LCM(61142,61148) = ( 61142 × 61148) / 2
LCM(61142,61148) = 3738711016 / 2
LCM(61142,61148) = 1869355508

Least Common Multiple (LCM) of 61142 and 61148 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61142 and 61148. First we will calculate the prime factors of 61142 and 61148.

Prime Factorization of 61142

Prime Factorization of 61148

Now multiplying the highest exponent prime factors to calculate the LCM of 61142 and 61148.

LCM(61142,61148) = 2² × 19¹ × 1609¹ × 15287¹
LCM(61142,61148) = 1869355508