What is the Least Common Multiple of 31949 and 31961?

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 31949 and 31961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31949 and 31961, than apply into the LCM equation.

GCF(31949,31961) = 1
LCM(31949,31961) = ( 31949 × 31961) / 1
LCM(31949,31961) = 1021121989 / 1
LCM(31949,31961) = 1021121989

Least Common Multiple (LCM) of 31949 and 31961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31949 and 31961. First we will calculate the prime factors of 31949 and 31961.

Prime Factorization of 31949

Prime Factorization of 31961

Now multiplying the highest exponent prime factors to calculate the LCM of 31949 and 31961.

LCM(31949,31961) = 43¹ × 743¹ × 31¹ × 1031¹
LCM(31949,31961) = 1021121989