What is the Least Common Multiple of 17949 and 17961?

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 17949 and 17961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17949 and 17961, than apply into the LCM equation.

GCF(17949,17961) = 3
LCM(17949,17961) = ( 17949 × 17961) / 3
LCM(17949,17961) = 322381989 / 3
LCM(17949,17961) = 107460663

Least Common Multiple (LCM) of 17949 and 17961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17949 and 17961. First we will calculate the prime factors of 17949 and 17961.

Prime Factorization of 17949

Prime Factorization of 17961

Now multiplying the highest exponent prime factors to calculate the LCM of 17949 and 17961.

LCM(17949,17961) = 3¹ × 31¹ × 193¹ × 5987¹
LCM(17949,17961) = 107460663