What is the Least Common Multiple of 61119 and 61132?

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 61119 and 61132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61119 and 61132, than apply into the LCM equation.

GCF(61119,61132) = 1
LCM(61119,61132) = ( 61119 × 61132) / 1
LCM(61119,61132) = 3736326708 / 1
LCM(61119,61132) = 3736326708

Least Common Multiple (LCM) of 61119 and 61132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61119 and 61132. First we will calculate the prime factors of 61119 and 61132.

Prime Factorization of 61119

Prime Factorization of 61132

Now multiplying the highest exponent prime factors to calculate the LCM of 61119 and 61132.

LCM(61119,61132) = 3² × 6791¹ × 2² × 17¹ × 29¹ × 31¹
LCM(61119,61132) = 3736326708