What is the Least Common Multiple of 61054 and 61061?

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 61054 and 61061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61054 and 61061, than apply into the LCM equation.

GCF(61054,61061) = 7
LCM(61054,61061) = ( 61054 × 61061) / 7
LCM(61054,61061) = 3728018294 / 7
LCM(61054,61061) = 532574042

Least Common Multiple (LCM) of 61054 and 61061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61054 and 61061. First we will calculate the prime factors of 61054 and 61061.

Prime Factorization of 61054

Prime Factorization of 61061

Now multiplying the highest exponent prime factors to calculate the LCM of 61054 and 61061.

LCM(61054,61061) = 2¹ × 7³ × 89¹ × 11¹ × 13¹ × 61¹
LCM(61054,61061) = 532574042