What is the Least Common Multiple of 61054 and 61072?

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 61072 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 61072, than apply into the LCM equation.

GCF(61054,61072) = 2
LCM(61054,61072) = ( 61054 × 61072) / 2
LCM(61054,61072) = 3728689888 / 2
LCM(61054,61072) = 1864344944

Least Common Multiple (LCM) of 61054 and 61072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61054 and 61072. First we will calculate the prime factors of 61054 and 61072.

Prime Factorization of 61054

Prime Factorization of 61072

Now multiplying the highest exponent prime factors to calculate the LCM of 61054 and 61072.

LCM(61054,61072) = 2⁴ × 7³ × 89¹ × 11¹ × 347¹
LCM(61054,61072) = 1864344944