What is the Least Common Multiple of 55675 and 55692?

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 55675 and 55692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55675 and 55692, than apply into the LCM equation.

GCF(55675,55692) = 17
LCM(55675,55692) = ( 55675 × 55692) / 17
LCM(55675,55692) = 3100652100 / 17
LCM(55675,55692) = 182391300

Least Common Multiple (LCM) of 55675 and 55692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55675 and 55692. First we will calculate the prime factors of 55675 and 55692.

Prime Factorization of 55675

Prime Factorization of 55692

Now multiplying the highest exponent prime factors to calculate the LCM of 55675 and 55692.

LCM(55675,55692) = 5² × 17¹ × 131¹ × 2² × 3² × 7¹ × 13¹
LCM(55675,55692) = 182391300