What is the Least Common Multiple of 61026 and 61042?

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 61026 and 61042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61026 and 61042, than apply into the LCM equation.

GCF(61026,61042) = 2
LCM(61026,61042) = ( 61026 × 61042) / 2
LCM(61026,61042) = 3725149092 / 2
LCM(61026,61042) = 1862574546

Least Common Multiple (LCM) of 61026 and 61042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61026 and 61042. First we will calculate the prime factors of 61026 and 61042.

Prime Factorization of 61026

Prime Factorization of 61042

Now multiplying the highest exponent prime factors to calculate the LCM of 61026 and 61042.

LCM(61026,61042) = 2¹ × 3¹ × 7¹ × 1453¹ × 23¹ × 1327¹
LCM(61026,61042) = 1862574546