What is the Least Common Multiple of 61044 and 61049?

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 61044 and 61049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61044 and 61049, than apply into the LCM equation.

GCF(61044,61049) = 1
LCM(61044,61049) = ( 61044 × 61049) / 1
LCM(61044,61049) = 3726675156 / 1
LCM(61044,61049) = 3726675156

Least Common Multiple (LCM) of 61044 and 61049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61044 and 61049. First we will calculate the prime factors of 61044 and 61049.

Prime Factorization of 61044

Prime Factorization of 61049

Now multiplying the highest exponent prime factors to calculate the LCM of 61044 and 61049.

LCM(61044,61049) = 2² × 3¹ × 5087¹ × 41¹ × 1489¹
LCM(61044,61049) = 3726675156