What is the Least Common Multiple of 55270 and 55277?

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 55270 and 55277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55270 and 55277, than apply into the LCM equation.

GCF(55270,55277) = 1
LCM(55270,55277) = ( 55270 × 55277) / 1
LCM(55270,55277) = 3055159790 / 1
LCM(55270,55277) = 3055159790

Least Common Multiple (LCM) of 55270 and 55277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55270 and 55277. First we will calculate the prime factors of 55270 and 55277.

Prime Factorization of 55270

Prime Factorization of 55277

Now multiplying the highest exponent prime factors to calculate the LCM of 55270 and 55277.

LCM(55270,55277) = 2¹ × 5¹ × 5527¹ × 167¹ × 331¹
LCM(55270,55277) = 3055159790