What is the Least Common Multiple of 55371 and 55390?

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 55371 and 55390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55371 and 55390, than apply into the LCM equation.

GCF(55371,55390) = 1
LCM(55371,55390) = ( 55371 × 55390) / 1
LCM(55371,55390) = 3066999690 / 1
LCM(55371,55390) = 3066999690

Least Common Multiple (LCM) of 55371 and 55390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55371 and 55390. First we will calculate the prime factors of 55371 and 55390.

Prime Factorization of 55371

Prime Factorization of 55390

Now multiplying the highest exponent prime factors to calculate the LCM of 55371 and 55390.

LCM(55371,55390) = 3¹ × 18457¹ × 2¹ × 5¹ × 29¹ × 191¹
LCM(55371,55390) = 3066999690