What is the Least Common Multiple of 55342 and 55349?

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 55342 and 55349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55342 and 55349, than apply into the LCM equation.

GCF(55342,55349) = 7
LCM(55342,55349) = ( 55342 × 55349) / 7
LCM(55342,55349) = 3063124358 / 7
LCM(55342,55349) = 437589194

Least Common Multiple (LCM) of 55342 and 55349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55342 and 55349. First we will calculate the prime factors of 55342 and 55349.

Prime Factorization of 55342

Prime Factorization of 55349

Now multiplying the highest exponent prime factors to calculate the LCM of 55342 and 55349.

LCM(55342,55349) = 2¹ × 7¹ × 59¹ × 67¹ × 7907¹
LCM(55342,55349) = 437589194