What is the Least Common Multiple of 55685 and 55699?

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 55685 and 55699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55685 and 55699, than apply into the LCM equation.

GCF(55685,55699) = 7
LCM(55685,55699) = ( 55685 × 55699) / 7
LCM(55685,55699) = 3101598815 / 7
LCM(55685,55699) = 443085545

Least Common Multiple (LCM) of 55685 and 55699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55685 and 55699. First we will calculate the prime factors of 55685 and 55699.

Prime Factorization of 55685

Prime Factorization of 55699

Now multiplying the highest exponent prime factors to calculate the LCM of 55685 and 55699.

LCM(55685,55699) = 5¹ × 7¹ × 37¹ × 43¹ × 73¹ × 109¹
LCM(55685,55699) = 443085545