What is the Least Common Multiple of 55185 and 55204?

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 55185 and 55204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55185 and 55204, than apply into the LCM equation.

GCF(55185,55204) = 1
LCM(55185,55204) = ( 55185 × 55204) / 1
LCM(55185,55204) = 3046432740 / 1
LCM(55185,55204) = 3046432740

Least Common Multiple (LCM) of 55185 and 55204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55185 and 55204. First we will calculate the prime factors of 55185 and 55204.

Prime Factorization of 55185

Prime Factorization of 55204

Now multiplying the highest exponent prime factors to calculate the LCM of 55185 and 55204.

LCM(55185,55204) = 3¹ × 5¹ × 13¹ × 283¹ × 2² × 37¹ × 373¹
LCM(55185,55204) = 3046432740